No, there are the same number of protons and electrons in an atom, but I don't think that they have the same mass. You're right, an electron is 1,836 times lighter than a proton.
Dunno, but the ratio of the mass of a proton to the mass of what prople think of as being an electron is approx 1980. I'd check that if I were you though. Probably OK to +- 5%.
If a proton would be 1, an electron would be 0.000544. An electron is 1,836 times lighter than a proton. A neutron would be 1.001 as a proton is 99.86% the mass of a neutron