82052900 has 36 divisors (see below), whose sum is σ = 178569300. Its totient is φ = 32726400.

The previous prime is 82052899. The next prime is 82052909. The reversal of 82052900 is 925028.

It can be written as a sum of positive squares in 6 ways, for example, as 8916196 + 73136704 = 2986^2 + 8552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82052900.

It is not an unprimeable number, because it can be changed into a prime (82052909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41126 + ... + 43074.

Almost surely, 2^82052900 is an apocalyptic number.

It is an amenable number.

82052900 is an abundant number, since it is smaller than the sum of its proper divisors (96516400).

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

82052900 is a wasteful number, since it uses less digits than its factorization.

82052900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 82052900 is about 9058.3055810676. The cubic root of 82052900 is about 434.5415525065.

Adding to 82052900 its reverse (925028), we get a palindrome (82977928).

The spelling of 82052900 in words is "eighty-two million, fifty-two thousand, nine hundred".