85267585 has 16 divisors (see below), whose sum is σ = 110391120. Its totient is φ = 62853120.

The previous prime is 85267561. The next prime is 85267591. The reversal of 85267585 is 58576258.

It can be written as a sum of positive squares in 8 ways, for example, as 26790976 + 58476609 = 5176^2 + 7647^2 .

It is not a de Polignac number, because 85267585 - 2²⁵ = 51713153 is a prime.

It is a super-2 number, since 2×85267585² = 14541122103464450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56521 + ... + 58009.

It is an arithmetic number, because the mean of its divisors is an integer number (6899445).

Almost surely, 2^85267585 is an apocalyptic number.

It is an amenable number.

85267585 is a deficient number, since it is larger than the sum of its proper divisors (25123535).

85267585 is a wasteful number, since it uses less digits than its factorization.

85267585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388.

The product of its digits is 672000, while the sum is 46.

The square root of 85267585 is about 9234.0448883466. The cubic root of 85267585 is about 440.1438665224.

The spelling of 85267585 in words is "eighty-five million, two hundred sixty-seven thousand, five hundred eighty-five".