Scarves are also a mainstream style choice for keeping necks warm, inside and out. Dropping the style, Neck Gaiters, Buffs, and Balaclavas are my go-tos for real cold.
Most neck warming gear is too uncomfortable (imo) to wear indoors all day, but I discovered I love bandannas specifically because 1) 100% cotton and 2) you can adjust the tightness to whatever you want, and for outdoors you can even go with 'double layer' of bandanna for even more warmth.