Starter Solenoid?

1997 Honda 300 Fourtrax

Battery was dead, so I charged it a little. Tried to start the bike with electric start and probably not enough juice…heard some fizzley type noises from the solenoid, then nothing. All I get now is a click and this is after leaving the battery on a trickle charger for 4 hours.

Going to replace the battery today anyway, but do you guys think its the starter solenoid that is gone? Like I said I hear a click when I press the starter button.

Anyway I can make sure that is the issue? oh and what is the oem part number for that solenoid just in case.

thanks