85057 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 70224.

The previous prime is 85049. The next prime is 85061. The reversal of 85057 is 75058.

85057 is nontrivially palindromic in base 16.

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

It is not a de Polignac number, because 85057 - 2³ = 85049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁸⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

85057 is a deficient number, since it is larger than the sum of its proper divisors (15743).

85057 is a wasteful number, since it uses less digits than its factorization.

85057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

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

The square root of 85057 is about 291.6453325531. The cubic root of 85057 is about 43.9781227330.

Subtracting from 85057 its reverse (75058), we obtain a palindrome (9999).

The spelling of 85057 in words is "eighty-five thousand, fifty-seven".