82900 has 18 divisors (see below), whose sum is σ = 180110. Its totient is φ = 33120.

The previous prime is 82891. The next prime is 82903. The reversal of 82900 is 928.

It can be written as a sum of positive squares in 3 ways, for example, as 6724 + 76176 = 82^2 + 276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315 + ... + 514.

2⁸²⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

82900 is an abundant number, since it is smaller than the sum of its proper divisors (97210).

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

82900 is a wasteful number, since it uses less digits than its factorization.

82900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 82900 is about 287.9236009778. The cubic root of 82900 is about 43.6031813182.

The spelling of 82900 in words is "eighty-two thousand, nine hundred".