85364 has 6 divisors (see below), whose sum is σ = 149394. Its totient is φ = 42680.

The previous prime is 85363. The next prime is 85369. The reversal of 85364 is 46358.

It can be written as a sum of positive squares in only one way, i.e., 85264 + 100 = 292^2 + 10^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10667 + ... + 10674.

It is an arithmetic number, because the mean of its divisors is an integer number (24899).

2⁸⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

85364 is a deficient number, since it is larger than the sum of its proper divisors (64030).

85364 is a wasteful number, since it uses less digits than its factorization.

85364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21345 (or 21343 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 85364 is about 292.1711826995. The cubic root of 85364 is about 44.0309699319.

The spelling of 85364 in words is "eighty-five thousand, three hundred sixty-four".