Is this safe with this ports being open for a cpanel server?

Interesting ports on localhost (127.0.0.1):
(The 1583 ports scanned but not shown below are in state: closed)
Port State Service
1/tcp open tcpmux
21/tcp open ftp
22/tcp open ssh
25/tcp open smtp
26/tcp open unknown
53/tcp open domain
80/tcp open http
110/tcp open pop-3
111/tcp open sunrpc
143/tcp open imap2
443/tcp open https
465/tcp open smtps
631/tcp open ipp
783/tcp open hp-alarm-mgr
953/tcp open rndc
993/tcp open imaps
995/tcp open pop3s
3306/tcp open mysql
Remote operating system guess: Linux 2.4.7 (X86)

Nmap run completed -- 1 IP address (1 host up) scanned in 5 seconds