82534500 has 72 divisors (see below), whose sum is σ = 260383032. Its totient is φ = 22008000.

The previous prime is 82534489. The next prime is 82534523. The reversal of 82534500 is 543528.

82534500 is a `hidden beast` number, since 82 + 534 + 50 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15163236 + 67371264 = 3894^2 + 8208^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4671 + ... + 13670.

It is an arithmetic number, because the mean of its divisors is an integer number (3616431).

Almost surely, 2^82534500 is an apocalyptic number.

It is an amenable number.

82534500 is an abundant number, since it is smaller than the sum of its proper divisors (177848532).

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

82534500 is a wasteful number, since it uses less digits than its factorization.

82534500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18366 (or 18351 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 82534500 is about 9084.8500262800. The cubic root of 82534500 is about 435.3900583798.

The spelling of 82534500 in words is "eighty-two million, five hundred thirty-four thousand, five hundred".