A router is a router is a router.
It may or may not be combined with a switch or hub in the same casing, and a WAP may or may not be added into the same casing as those. Additionally, when a modem is also included thus turning it into a modem/router many people use the simple term "router".
I don't think you can have half a router, except when setting up a spoof eBay advert. Two-thirds of one however is a rout.
The casing of any such combination is of course five-sixths of the whole piece of equipment.
The indispensable man or woman passes from the scene, and what happens next is more or less the same thing as was happening before.
My broadband basic info/help site - www.robertos.me.uk.
Domains, site and mail hosting - Tsohost
Connection - Plusnet
UnLim Fibre (FTTC). Sync 58162/14182kbps @ 600m. - BQM