57085 has 12 divisors (see below), whose sum is σ = 80028. Its totient is φ = 38976.

The previous prime is 57077. The next prime is 57089. The reversal of 57085 is 58075.

57085 = 71² + 72² + ... + 80².

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 41209 = 126^2 + 203^2 .

It is not a de Polignac number, because 57085 - 2³ = 57077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129 + ... + 361.

It is an arithmetic number, because the mean of its divisors is an integer number (6669).

2⁵⁷⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

57085 is a deficient number, since it is larger than the sum of its proper divisors (22943).

57085 is a wasteful number, since it uses less digits than its factorization.

57085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 57085 is about 238.9246743223. The cubic root of 57085 is about 38.5041317880.

Adding to 57085 its product of nonzero digits (1400), we get a palindrome (58485).

Subtracting 57085 from its reverse (58075), we obtain a triangular number (990 = T₄₄).

The spelling of 57085 in words is "fifty-seven thousand, eighty-five".