82906564 has 48 divisors (see below), whose sum is σ = 161864640. Its totient is φ = 36915840.

The previous prime is 82906561. The next prime is 82906573. The reversal of 82906564 is 46560928.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (82906561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186927 + ... + 187369.

It is an arithmetic number, because the mean of its divisors is an integer number (3372180).

Almost surely, 2^82906564 is an apocalyptic number.

82906564 is the 5759-th heptagonal number.

It is an amenable number.

82906564 is a deficient number, since it is larger than the sum of its proper divisors (78958076).

82906564 is a wasteful number, since it uses less digits than its factorization.

82906564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 82906564 is about 9105.3041684504. The cubic root of 82906564 is about 436.0433211731.

The spelling of 82906564 in words is "eighty-two million, nine hundred six thousand, five hundred sixty-four".