85208 has 8 divisors (see below), whose sum is σ = 159780. Its totient is φ = 42600.

The previous prime is 85201. The next prime is 85213. The reversal of 85208 is 80258.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×85208³ = 1855933323956736, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5318 + ... + 5333.

2⁸⁵²⁰⁸ is an apocalyptic number.

It is an amenable number.

85208 is a deficient number, since it is larger than the sum of its proper divisors (74572).

85208 is a wasteful number, since it uses less digits than its factorization.

85208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85208 is about 291.9040938391. The cubic root of 85208 is about 44.0041318434.

Subtracting from 85208 its reverse (80258), we obtain a triangular number (4950 = T₉₉).

The spelling of 85208 in words is "eighty-five thousand, two hundred eight".