85575 has 24 divisors (see below), whose sum is σ = 162688. Its totient is φ = 38880.

The previous prime is 85571. The next prime is 85577. The reversal of 85575 is 57558.

It is a happy number.

It is not a de Polignac number, because 85575 - 2² = 85571 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444 + ... + 606.

2⁸⁵⁵⁷⁵ is an apocalyptic number.

85575 is a deficient number, since it is larger than the sum of its proper divisors (77113).

85575 is a wasteful number, since it uses less digits than its factorization.

85575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 85575 is about 292.5320495262. The cubic root of 85575 is about 44.0672181960.

The spelling of 85575 in words is "eighty-five thousand, five hundred seventy-five".