82564452 has 36 divisors (see below), whose sum is σ = 209003340. Its totient is φ = 27482112.

The previous prime is 82564451. The next prime is 82564463. The reversal of 82564452 is 25446528.

It is a happy number.

82564452 is a `hidden beast` number, since 8 + 2 + 5 + 644 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51494976 + 31069476 = 7176^2 + 5574^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82564451) 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, 35188 + ... + 37460.

Almost surely, 2^82564452 is an apocalyptic number.

It is an amenable number.

82564452 is an abundant number, since it is smaller than the sum of its proper divisors (126438888).

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

82564452 is a wasteful number, since it uses less digits than its factorization.

82564452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3287 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 82564452 is about 9086.4983354425. The cubic root of 82564452 is about 435.4427200983.

The spelling of 82564452 in words is "eighty-two million, five hundred sixty-four thousand, four hundred fifty-two".