82582900 has 18 divisors (see below), whose sum is σ = 179205110. Its totient is φ = 33033120.

The previous prime is 82582891. The next prime is 82582931. The reversal of 82582900 is 928528.

It can be written as a sum of positive squares in 3 ways, for example, as 2802276 + 79780624 = 1674^2 + 8932^2 .

It is a congruent number.

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, 412815 + ... + 413014.

Almost surely, 2^82582900 is an apocalyptic number.

It is an amenable number.

82582900 is an abundant number, since it is smaller than the sum of its proper divisors (96622210).

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

82582900 is a wasteful number, since it uses less digits than its factorization.

82582900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825843 (or 825836 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 82582900 is about 9087.5134112693. The cubic root of 82582900 is about 435.4751491033.

The spelling of 82582900 in words is "eighty-two million, five hundred eighty-two thousand, nine hundred".