82431129 has 24 divisors (see below), whose sum is σ = 123641056. Its totient is φ = 48787200.

The previous prime is 82431109. The next prime is 82431157. The reversal of 82431129 is 92113428.

It is not a de Polignac number, because 82431129 - 2⁹ = 82430617 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 82431096 and 82431105.

It is not an unprimeable number, because it can be changed into a prime (82431109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12969 + ... + 18249.

Almost surely, 2^82431129 is an apocalyptic number.

It is an amenable number.

82431129 is a deficient number, since it is larger than the sum of its proper divisors (41209927).

82431129 is a wasteful number, since it uses less digits than its factorization.

82431129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5338 counting only the distinct ones).

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

The square root of 82431129 is about 9079.1590469602. The cubic root of 82431129 is about 435.2082131777.

The spelling of 82431129 in words is "eighty-two million, four hundred thirty-one thousand, one hundred twenty-nine".