Weigh it on a metric scale that's accurate to the tenth of a gram. If it weighs 3 to 3.1 grams, it's a cent that someone plated and it's a novelty item worth whatever you could get for it. If it weighs 2.5 grams or a little under that, the next thing to do is measure the thickness. It should be no thicker than 1.35 mm and will probably be a bit less. If it is, you need to have it checked by an expert. You could have an error coin where a planchet used to strike a Mercury dime accidentally fell into the dies for striking a cent. This can happen because the planchet is smaller and will easily fit inside the collar that holds the coin in place as it's being struck. It cannot happen the other way, a cent planchet being struck in the dime dies.

Such an error would be rare. But it's usually pretty easy to tell. Some of the lettering near the rim may appear to be pinched off, due to the smaller planchet.

There are no 1937 silver cents. The only silver colored on was the 1943 and it is zinc coated steel. You cent may have been silver plated by a science class or some one learning how to plate things. It also could be a joke item or the person that plated it was bored. No all silver cents were ever made of any date, there is a large cent that has a silver plug but that is it.

Congrats!!