Can a woman travel alone in South Korea?

I'm planning a trip to South Korea soon, and I'm considering traveling alone. I've heard that South Korea is a safe country, but I'm still a bit concerned about safety issues. Is it safe for a woman to travel alone in South Korea? Are there any specific areas or times that I should avoid? Also, are there any tips or advice you can give me for traveling alone in South Korea? I'd appreciate any information you can provide.