85708 has 12 divisors (see below), whose sum is σ = 171472. Its totient is φ = 36720.

The previous prime is 85703. The next prime is 85711. The reversal of 85708 is 80758.

85708 is an admirable number.

It is a super-2 number, since 2×85708² = 14691722528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3061 = 85708 / (8 + 5 + 7 + 0 + 8).

It is not an unprimeable number, because it can be changed into a prime (85703) by changing a digit.

85708 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1503 + ... + 1558.

2⁸⁵⁷⁰⁸ is an apocalyptic number.

It is an amenable number.

85708 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85736).

85708 is a wasteful number, since it uses less digits than its factorization.

85708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 85708 is about 292.7592867869. The cubic root of 85708 is about 44.0900360217.

Subtracting from 85708 its reverse (80758), we obtain a triangular number (4950 = T₉₉).

The spelling of 85708 in words is "eighty-five thousand, seven hundred eight".