There are 3 US Post Offices in Piute County serving a total of 1,347 residents equating to 449 residents per post office. It's estimated that approximately 2,150 packages are handled across the 3 county post offices annually. Piute County /\u02c8pa\u026aju\u02d0t/ is a county located in the U.S. state of Utah. As of the 2010 census, the population was 1,556, making it the second-least populous county in Utah. The county seat is Junction, and the largest city is Circleville. The county was named for the Paiute tribe of Native Americans."