Chromium -vs- chrome on Linux Mint?

[joe at actionline.com]

On my Linux Mint 17 system, the chromium browser was installed by default
and it has seemed to work well for most things ... but I've been getting
messages from Google that read: "This version of Chrome is no longer
supported. Please upgrade to a supported browser."

So is it safe and prudent to install the Chrome browser to replace
chromium?  I seem to remember reading a while back that there were
problems with running the Chrome browser on Linux.

Please advise what to do.