85916591 has 2 divisors, whose sum is σ = 85916592. Its totient is φ = 85916590.

The previous prime is 85916587. The next prime is 85916639. The reversal of 85916591 is 19561958.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 85916591 - 2² = 85916587 is a prime.

It is a super-2 number, since 2×85916591² = 14763321218122562, which contains 22 as substring.

It is a Sophie Germain prime.

It is equal to p_4993928 and since 85916591 and 4993928 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85916561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42958295 + 42958296.

It is an arithmetic number, because the mean of its divisors is an integer number (42958296).

Almost surely, 2^85916591 is an apocalyptic number.

85916591 is a deficient number, since it is larger than the sum of its proper divisors (1).

85916591 is an equidigital number, since it uses as much as digits as its factorization.

85916591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 97200, while the sum is 44.

The square root of 85916591 is about 9269.1202926707. The cubic root of 85916591 is about 441.2577494112.

The spelling of 85916591 in words is "eighty-five million, nine hundred sixteen thousand, five hundred ninety-one".