Applying for social security at 62

I recently retired, at 61, after 30 years in my state retirement system. I've just begun a part-time job but do not intend to become full-time at any point. My question is: since I'm not adding substantially to my social security account, should I begin drawing social security at 62? I'm thinking that since I'm no longer working full-time, there's no advantage to waiting because my monthly social security income will no longer be increasing (it would be a different story if I were still working full-time).