Security wise you should check if your website is still using the weak SHA1 algorithm to sign your domain certificate. Marketing wise as well. With Chrome being one of the major web browsers in use out there your users will feel insecure very soon in your website unless you sign your certificate with the sha256 hash algorithm.
Google has announced Chrome will start warning users who try to visit websites that still use sha1 signature algorithm to generate their SSL certificates.
You can of course use https://www.ssllabs.com/ssltest/analyze.html?d=$domain to test those sites available to the wild. For intranet though you need a different tool which happens to work of course also for external sites: