85979577 has 8 divisors (see below), whose sum is σ = 118592640. Its totient is φ = 55343120.

The previous prime is 85979549. The next prime is 85979581. The reversal of 85979577 is 77597958.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85979577 - 2⁶ = 85979513 is a prime.

It is a super-2 number, since 2×85979577² = 14784975322197858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85979587) 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 7 ways as a sum of consecutive naturals, for example, 494049 + ... + 494222.

It is an arithmetic number, because the mean of its divisors is an integer number (14824080).

Almost surely, 2^85979577 is an apocalyptic number.

85979577 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85979577 is a deficient number, since it is larger than the sum of its proper divisors (32613063).

85979577 is a wasteful number, since it uses less digits than its factorization.

85979577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988303.

The product of its digits is 5556600, while the sum is 57.

The square root of 85979577 is about 9272.5172957509. The cubic root of 85979577 is about 441.3655526937.

The spelling of 85979577 in words is "eighty-five million, nine hundred seventy-nine thousand, five hundred seventy-seven".