Is Korea safe to travel alone as a woman?

As a woman, I'm considering traveling to Korea alone, but I'm a bit concerned about safety. Could you tell me if it's generally safe to travel alone in Korea as a woman? I've heard about some crime rates in certain areas, so I'm wondering if there are any specific precautions I should take. Also, are there any areas or neighborhoods that I should avoid? Any advice or tips would be greatly appreciated.