Hui'an Cultural Palace is 23 mi (36.9 km) from central Xi'an, why not stop by during your stay. If you want to experience more of the culture Xi'an has to offer, head to Xi'an Shiyou University.
If seeing the sights is on your list of things to do, head to Yungai Temple— just one of the landmarks located 8.3 mi (13.3 km) from central Zhen'an County.
Chang'an District is home to Xiangji Temple, so why not stop by during your stay in Xi'an. It's also full of great shops and restaurants, so you can spend the afternoon having a wander.