N(t)=1700/1+169e^-0.625t

How many people started the rumor

I'm sorry, but the given equation N(t) does not provide any information about the number of people who started the rumor. It only gives the number of people who have heard the rumor at a given time t, assuming that the rumor spreads according to a logistic growth model.

AAAaannndd the bot gets it wrong yet again!

N(0)=1700/(1+169e^-0.625t) = 1700/(1+169) = 10