82153929 has 32 divisors (see below), whose sum is σ = 135475200. Its totient is φ = 43536960.

The previous prime is 82153913. The next prime is 82153961. The reversal of 82153929 is 92935128.

It is not a de Polignac number, because 82153929 - 2⁴ = 82153913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (82153229) 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, 3112 + ... + 13190.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2^82153929 is an apocalyptic number.

It is an amenable number.

82153929 is a deficient number, since it is larger than the sum of its proper divisors (53321271).

82153929 is a wasteful number, since it uses less digits than its factorization.

82153929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10125.

The product of its digits is 38880, while the sum is 39.

The square root of 82153929 is about 9063.8804603768. The cubic root of 82153929 is about 434.7198248680.

The spelling of 82153929 in words is "eighty-two million, one hundred fifty-three thousand, nine hundred twenty-nine".