85000961 has 2 divisors, whose sum is σ = 85000962. Its totient is φ = 85000960.

The previous prime is 85000933. The next prime is 85000967. The reversal of 85000961 is 16900058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64705936 + 20295025 = 8044^2 + 4505^2 .

It is a cyclic number.

It is not a de Polignac number, because 85000961 - 2¹⁸ = 84738817 is a prime.

It is not a weakly prime, because it can be changed into another prime (85000967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42500480 + 42500481.

It is an arithmetic number, because the mean of its divisors is an integer number (42500481).

Almost surely, 2^85000961 is an apocalyptic number.

It is an amenable number.

85000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

85000961 is an equidigital number, since it uses as much as digits as its factorization.

85000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 85000961 is about 9219.5965746881. The cubic root of 85000961 is about 439.6846242109.

The spelling of 85000961 in words is "eighty-five million, nine hundred sixty-one", and thus it is an aban number.