85657 has 8 divisors (see below), whose sum is σ = 100800. Its totient is φ = 71760.

The previous prime is 85643. The next prime is 85661. The reversal of 85657 is 75658.

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

It is not a de Polignac number, because 85657 - 2¹¹ = 83609 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (85607) 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, 157 + ... + 442.

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

2⁸⁵⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

85657 is a deficient number, since it is larger than the sum of its proper divisors (15143).

85657 is a wasteful number, since it uses less digits than its factorization.

85657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623.

The product of its digits is 8400, while the sum is 31.

The square root of 85657 is about 292.6721715504. The cubic root of 85657 is about 44.0812891214.

Subtracting from 85657 its reverse (75658), we obtain a palindrome (9999).

It can be divided in two parts, 8 and 5657, that added together give a palindrome (5665).

The spelling of 85657 in words is "eighty-five thousand, six hundred fifty-seven".