As of the census of 2000, there were 4,631 people, 1,728 households, and 1,252 families residing in the county. The population density was 5 people per square mile (2/km2). There were 1,968 housing units at an average density of 2 per square mile (1/km2). The racial makeup of the county was 91.10% White, 0.39% Black or African American, 0.54% Native American, 0.22% Asian, 6.24% from other races, and 1.51% from two or more races. 10.90% of the population were Hispanic or Latino of any race.