According to the United States Census Bureau, the township has a total area of ; is land and, or 0.24%, is water. Embarrass is located 22 miles northeast of the city ofVirginia; and 27 miles southwest of Ely. Embarrass is 12 miles south of Tower; and 86 miles north of Duluth. Nearby places include Tower, Aurora, Hoyt Lakes, Biwabik, and Babbitt. The Embarrass River flows through the east–central and southeast portions of Embarrass Township. The Pike River flows through the western portion of the township. Bear Creek flows through the eastern part of the township.
As of the census of 2000, there were 691 people, 290 households, and 196 families residing in the township. The population density was 21.1 people per square mile. There were 330 housing units at an average density of 10.1/sq mi. The racial makeup of the township was 98.41% White, 0.14% African American, 0.58% Native American, 0.14% Asian, 0.14% from other races, and 0.58% from two or more races. Hispanic or Latino of any race were 0.43% of the population. There were 290 households, out of which 23.8% had children under the age of 18 living with them, 57.6% were married couplesliving together, 5.2% had a female householder with no husband present, and 32.4% were non-families. 26.9% of all households were made up of individuals, and 8.6% had someone living alone who was 65 years of age or older. The average household size was 2.37 and the average family size was 2.87. In the township the population was spread out, with 22.0% under the age of 18, 6.2% from 18 to 24, 25.8% from 25 to 44, 30.4% from 45 to 64, and 15.6% who were 65 years of age or older. The median age was 43 years. For every 100 females, there were 106.3 males. For every 100 females age 18 and over, there were 104.2 males. The median income for a household in the township was $36,111, and the median income for a family was $44,444. Males had a median income of $40,855 versus $21,786 for females. The per capita income for the township was $17,983. About 6.6% of families and 8.6% of the population were below the poverty line, including 5.9% of those under age 18 and 5.2% of those age 65 or over.
Name origins
The township took its name from the Embarrass River.