82164759 has 16 divisors (see below), whose sum is σ = 115977600. Its totient is φ = 51597216.

The previous prime is 82164751. The next prime is 82164767. The reversal of 82164759 is 95746128.

It is an interprime number because it is at equal distance from previous prime (82164751) and next prime (82164767).

It is not a de Polignac number, because 82164759 - 2³ = 82164751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82164759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82164751) 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, 6177 + ... + 14229.

It is an arithmetic number, because the mean of its divisors is an integer number (7248600).

Almost surely, 2^82164759 is an apocalyptic number.

82164759 is a deficient number, since it is larger than the sum of its proper divisors (33812841).

82164759 is a wasteful number, since it uses less digits than its factorization.

82164759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254.

The product of its digits is 120960, while the sum is 42.

The square root of 82164759 is about 9064.4778669265. The cubic root of 82164759 is about 434.7389264452.

The spelling of 82164759 in words is "eighty-two million, one hundred sixty-four thousand, seven hundred fifty-nine".