River Heights is a city in Cache County, Utah, United States. The population was 2,144 at the 2020 census. It is included in the Logan, …River Heights is a city in Cache County, Utah, United States. The population was 2,144 at the 2020 census. It is included in the Logan, Utah-Idaho Metropolitan Statistical Area. According to the United States Census Bureau, the city has a total area of 0.6 square mile, all land.