82564605 has 24 divisors (see below), whose sum is σ = 144248832. Its totient is φ = 43684704.

The previous prime is 82564589. The next prime is 82564607. The reversal of 82564605 is 50646528.

82564605 is a `hidden beast` number, since 8 + 2 + 5 + 646 + 0 + 5 = 666.

It is not a de Polignac number, because 82564605 - 2⁴ = 82564589 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82564605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82564607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509 + ... + 12938.

It is an arithmetic number, because the mean of its divisors is an integer number (6010368).

Almost surely, 2^82564605 is an apocalyptic number.

It is an amenable number.

82564605 is a deficient number, since it is larger than the sum of its proper divisors (61684227).

82564605 is a wasteful number, since it uses less digits than its factorization.

82564605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14585 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 82564605 is about 9086.5067545234. The cubic root of 82564605 is about 435.4429890708.

The spelling of 82564605 in words is "eighty-two million, five hundred sixty-four thousand, six hundred five".