85356 has 18 divisors (see below), whose sum is σ = 215852. Its totient is φ = 28440.

The previous prime is 85333. The next prime is 85361. The reversal of 85356 is 65358.

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85356.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1150 + ... + 1221.

2⁸⁵³⁵⁶ is an apocalyptic number.

It is an amenable number.

85356 is an abundant number, since it is smaller than the sum of its proper divisors (130496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85356 is a wasteful number, since it uses less digits than its factorization.

85356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2376 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 85356 is about 292.1574917746. The cubic root of 85356 is about 44.0295944154.

It can be divided in two parts, 853 and 56, that added together give a palindrome (909).

The spelling of 85356 in words is "eighty-five thousand, three hundred fifty-six".