82129113 has 48 divisors (see below), whose sum is σ = 139681920. Its totient is φ = 47567520.

The previous prime is 82129087. The next prime is 82129129. The reversal of 82129113 is 31192128.

It is not a de Polignac number, because 82129113 - 2¹⁷ = 81998041 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (82129513) 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 47 ways as a sum of consecutive naturals, for example, 74595 + ... + 75687.

It is an arithmetic number, because the mean of its divisors is an integer number (2910040).

Almost surely, 2^82129113 is an apocalyptic number.

It is an amenable number.

82129113 is a deficient number, since it is larger than the sum of its proper divisors (57552807).

82129113 is a wasteful number, since it uses less digits than its factorization.

82129113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1130 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 82129113 is about 9062.5114068894. The cubic root of 82129113 is about 434.6760489394.

The spelling of 82129113 in words is "eighty-two million, one hundred twenty-nine thousand, one hundred thirteen".