82700 has 18 divisors (see below), whose sum is σ = 179676. Its totient is φ = 33040.

The previous prime is 82699. The next prime is 82721. The reversal of 82700 is 728.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82700.

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, 314 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (9982).

2⁸²⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

82700 is an abundant number, since it is smaller than the sum of its proper divisors (96976).

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

82700 is a wasteful number, since it uses less digits than its factorization.

82700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 82700 is about 287.5760768910. The cubic root of 82700 is about 43.5680881994.

The spelling of 82700 in words is "eighty-two thousand, seven hundred".