85977969 has 32 divisors (see below), whose sum is σ = 143410176. Its totient is φ = 44512320.

The previous prime is 85977961. The next prime is 85977977. The reversal of 85977969 is 96977958.

It is an interprime number because it is at equal distance from previous prime (85977961) and next prime (85977977).

It is not a de Polignac number, because 85977969 - 2³ = 85977961 is a prime.

It is a super-2 number, since 2×85977969² = 14784422306729922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85977961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107479 + ... + 108275.

It is an arithmetic number, because the mean of its divisors is an integer number (4481568).

Almost surely, 2^85977969 is an apocalyptic number.

It is an amenable number.

85977969 is a deficient number, since it is larger than the sum of its proper divisors (57432207).

85977969 is a wasteful number, since it uses less digits than its factorization.

85977969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285.

The product of its digits is 8573040, while the sum is 60.

The square root of 85977969 is about 9272.4305874997. The cubic root of 85977969 is about 441.3628011867.

The spelling of 85977969 in words is "eighty-five million, nine hundred seventy-seven thousand, nine hundred sixty-nine".