Some websites are not opened at all

[Hadramawt]

I can't say anything definitive as all routers have their own wording for stuff. I would need to see for myself. Normally Dynamic DNS is used for something else - https://en.wikipedia.org/wiki/Dynamic_DNS.

In cmd, try:

nslookup
server 82.114.160.37
google.com

If it returns the IP addresses then it is a DNS server you are probably connected to.

Thanks a lot,

Microsoft Windows [Version 6.1.7601]
Copyright (c) 2009 Microsoft Corporation.  All rights reserved.

C:\Windows\system32>nslookup
Default Server:  router
Address:  192.168.88.1

> server 82.114.160.37
Default Server:  [82.114.160.37]
Address:  82.114.160.37

> google.com
Server:  [82.114.160.37]
Address:  82.114.160.37

Non-authoritative answer:
Name:    google.com
Addresses:  2404:6800:4009:804::200e
          82.114.163.48
          82.114.163.49
          82.114.163.53
          82.114.163.57
          82.114.163.59
          82.114.163.16
          82.114.163.20
          82.114.163.24
          82.114.163.26
          82.114.163.27
          82.114.163.31
          82.114.163.35
          82.114.163.37
          82.114.163.38
          82.114.163.42
          82.114.163.46

>

I am confused which is my automatic DNS server address?

1- Your command returned 82.114.160.37, and not 82.114.160.39

2- you think that 82.114.160.37 is automatic DNS server address? If so, then why does my router management interface: (first screen shot posted before) say:
Dynamic DNS Servers:
82.114.160.37
82.114.160.39

3- in the my router management interface are: (first screen shot posted before)
Dynamic DNS Servers addresses are two
82.114.160.37
82.114.160.39
However, with that command, only 82.114.160.37 is shown.

4- I have previously run the command 'tracert Google' , and its result was.

Microsoft Windows [Version 6.1.7601]
Copyright (c) 2009 Microsoft Corporation.  All rights reserved.

C:\Windows\system32>tracert www.google.com

Tracing route to www.google.com [216.58.209.228]
over a maximum of 30 hops:

  1     1 ms     3 ms    <1 ms  router [192.168.88.1]
  2  2505 ms   796 ms   849 ms  10.100.176.1
  3   823 ms   766 ms   902 ms  82.114.160.1
  4   785 ms   875 ms   769 ms  82.178.159.141
  5   747 ms   683 ms   539 ms  82.178.159.10
  6   885 ms   748 ms     *     209.85.143.118
  7   816 ms   838 ms   816 ms  72.14.232.78
  8   705 ms   779 ms   694 ms  216.239.40.210
  9   708 ms   807 ms   732 ms  216.239.40.182
 10   871 ms   876 ms   735 ms  216.239.42.36
 11   719 ms     *      750 ms  72.14.239.230
 12   841 ms     *      857 ms  209.85.250.171
 13   727 ms   901 ms   694 ms  lhr08s05-in-f4.1e100.net [216.58.209.228]

Trace complete.

C:\Windows\system32>

However, when rerun 'tracert Google' again, the result was completely different. I am stumbled by this.

Microsoft Windows [Version 6.1.7601]
Copyright (c) 2009 Microsoft Corporation.  All rights reserved.

C:\Windows\system32>tracert www.google.com

Tracing route to www.google.com [82.114.163.57]
over a maximum of 30 hops:

  1     2 ms     1 ms    <1 ms  router [192.168.88.1]
  2    60 ms    61 ms    59 ms  10.100.192.1
  3    62 ms    60 ms    60 ms  82.114.160.1
  4    62 ms    60 ms    60 ms  82.114.163.57

Trace complete.

C:\Windows\system32>

 

[GokAy]

That first IP gave you answers for Google.com so it is a DNS server, you have to test those IPs separately with nslookup. So set server for the second IP as you have done for the 1st IP.

Tracert results can be different (depends on which routers are passed on the way)