85157 has 8 divisors (see below), whose sum is σ = 91392. Its totient is φ = 79200.

The previous prime is 85147. The next prime is 85159. The reversal of 85157 is 75158.

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

It is a cyclic number.

It is not a de Polignac number, because 85157 - 2⁶ = 85093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85157.

It is not an unprimeable number, because it can be changed into a prime (85159) 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, 1238 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (11424).

2⁸⁵¹⁵⁷ is an apocalyptic number.

It is an amenable number.

85157 is a deficient number, since it is larger than the sum of its proper divisors (6235).

85157 is a wasteful number, since it uses less digits than its factorization.

85157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139.

The product of its digits is 1400, while the sum is 26.

The square root of 85157 is about 291.8167233042. The cubic root of 85157 is about 43.9953507484.

Subtracting from 85157 its reverse (75158), we obtain a palindrome (9999).

It can be divided in two parts, 85 and 157, that added together give a palindrome (242).

The spelling of 85157 in words is "eighty-five thousand, one hundred fifty-seven".