As of the census of 2000, there were 5,469 people, 2,245 households, and 1,537 families in the county. The population density was 10 people per square mile (4/km2). There were 2,789 housing units at an average density of 5 per square mile (2/km2). The racial makeup of the county was 99.07% White, 0.11% Black or African American, 0.22% Native American, 0.16% Asian, 0.02% from other races, and 0.42% from two or more races. 0.24% of the population were Hispanic or Latino of any race.