Are you talking about a permanent move, or just running over to a friend's house?
Is this a router ONLY, or is it your cable modem combined with a router?
1.) If it's a router only: You can take it and use it pretty-much wherever you want.
2.) If it's a cable modem plus router: You're better-off leaving it at home.
3.) If you are making a permanent move, and #2 applies, contact Spectrum to re-provision your service.