At the 2000 census there were 5,794 people, 2,093 households, and 1,523 families living in the county. The population density was 1 person per square mile (~2.5/km2). There were 2,780 housing units at an average density of 0 per square mile (0/km2). The racial makeup of the county was 84.41% White, 0.21% Black or African American, 3.99% Native American, 0.35% Asian, 0.03% Pacific Islander, 8.66% from other races, and 2.35% from two or more races. 18.52% of the population were Hispanic or Latino of any race.