85700 has 18 divisors (see below), whose sum is σ = 186186. Its totient is φ = 34240.

The previous prime is 85691. The next prime is 85703. The reversal of 85700 is 758.

85700 = T₂₀₅ + T₂₀₆ + ... + T₂₀₈.

It can be written as a sum of positive squares in 3 ways, for example, as 20164 + 65536 = 142^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

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

85700 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 5 ways as a sum of consecutive naturals, for example, 329 + ... + 528.

2⁸⁵⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

85700 is an abundant number, since it is smaller than the sum of its proper divisors (100486).

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

85700 is a wasteful number, since it uses less digits than its factorization.

85700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 85700 is about 292.7456233661. The cubic root of 85700 is about 44.0886641884.

The spelling of 85700 in words is "eighty-five thousand, seven hundred".