85357 has 4 divisors (see below), whose sum is σ = 90396. Its totient is φ = 80320.

The previous prime is 85333. The next prime is 85361. The reversal of 85357 is 75358.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 72361 + 12996 = 269^2 + 114^2 .

It is a cyclic number.

It is not a de Polignac number, because 85357 - 2⁷ = 85229 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 (83357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2494 + ... + 2527.

It is an arithmetic number, because the mean of its divisors is an integer number (22599).

2⁸⁵³⁵⁷ is an apocalyptic number.

It is an amenable number.

85357 is a deficient number, since it is larger than the sum of its proper divisors (5039).

85357 is a wasteful number, since it uses less digits than its factorization.

85357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038.

The product of its digits is 4200, while the sum is 28.

The square root of 85357 is about 292.1592031753. The cubic root of 85357 is about 44.0297663597.

Subtracting from 85357 its reverse (75358), we obtain a palindrome (9999).

The spelling of 85357 in words is "eighty-five thousand, three hundred fifty-seven".