Hyrum is a city in Cache County, Utah, United States. The population was 6,316 at the 2000 census.and by 2004 had been estimated to increase slightly to 6,463. It is included in the Logan, Utah-Idaho Metropolitan Statistical Area. Hyrum apartments for rent comparison page shows most up to date rent information on Hyrum apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.