As of the 2000 United States Census, there were 4,647 people, 1,965 households, and 1,298 families in the county. The population density was 8 people per square mile (3/km2). There were 2,273 housing units at an average density of 4 per square mile (2/km2). The racial makeup of the county was 98.15% White, 0.15% Black or African American, 0.32% Native American, 0.11% Asian, 0.06% Pacific Islander, 0.80% from other races, and 0.41% from two or more races. 1.61% of the population were Hispanic or Latino of any race.