82264900 has 27 divisors (see below), whose sum is σ = 178711869. Its totient is φ = 32869680.

The previous prime is 82264879. The next prime is 82264907. The reversal of 82264900 is 946228.

The square root of 82264900 is 9070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29615364 + 52649536 = 5442^2 + 7256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82264907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90247 + ... + 91153.

Almost surely, 2^82264900 is an apocalyptic number.

82264900 is the 9070-th square number.

It is an amenable number.

82264900 is an abundant number, since it is smaller than the sum of its proper divisors (96446969).

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

82264900 is an equidigital number, since it uses as much as digits as its factorization.

82264900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The cubic root of 82264900 is about 434.9154721917.

The spelling of 82264900 in words is "eighty-two million, two hundred sixty-four thousand, nine hundred".