A divisor of a positive integer is biunitary if the greatest common unitary divisor of and is 1. For a prime power , the biunitary divisors are the powers 1, , , ..., , except for when is even (Cohen 1990).
See alsoDivisor, k-ary Divisor, Unitary Divisor
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ReferencesCohen, G. L. "On an Integer's Infinitary Divisors." Math. Comput. 54, 395-411, 1990.Suryanarayana, D. "The Number of Bi-Unitary Divisors of an Integer." The Theory of Arithmetic Functions (Proc. Conf., Western Michigan Univ., Kalamazoo, Mich., 1971. New York: Springer-Verlag, pp. 273-282, 1972.Suryanarayana, D. and Rao, R. S. R. C. "The Number of Bi-Unitary Divisors of an Integer. II." J. Indian Math. Soc. 39, 261-280, 1975.
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Weisstein, Eric W. "Biunitary Divisor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BiunitaryDivisor.html