nmap is a very handy free port testing and scanning tool that can test port connectivity. Below is a simple port test using this tool.
CentOS System:
yum -y install nmap
Ubuntu System:
apt -y install nmap
Test command: 8585 is the port to test.
nmap 192.168.1.111 -p 8585

Windows Platform:
http://mirror.cnop.net/security/nmap-7.80-setup.exe