82924131 has 32 divisors (see below), whose sum is σ = 118835712. Its totient is φ = 51321600.

The previous prime is 82924129. The next prime is 82924133. The reversal of 82924131 is 13142928.

It is an interprime number because it is at equal distance from previous prime (82924129) and next prime (82924133).

It is not a de Polignac number, because 82924131 - 2¹ = 82924129 is a prime.

It is a super-2 number, since 2×82924131² = 13752823004210322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (82924133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508656 + ... + 508818.

It is an arithmetic number, because the mean of its divisors is an integer number (3713616).

Almost surely, 2^82924131 is an apocalyptic number.

82924131 is a deficient number, since it is larger than the sum of its proper divisors (35911581).

82924131 is a wasteful number, since it uses less digits than its factorization.

82924131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363.

The product of its digits is 3456, while the sum is 30.

The square root of 82924131 is about 9106.2687748605. The cubic root of 82924131 is about 436.0741166119.

The spelling of 82924131 in words is "eighty-two million, nine hundred twenty-four thousand, one hundred thirty-one".