82431249 has 16 divisors (see below), whose sum is σ = 116558208. Its totient is φ = 51639552.

The previous prime is 82431229. The next prime is 82431269. The reversal of 82431249 is 94213428.

It is an interprime number because it is at equal distance from previous prime (82431229) and next prime (82431269).

It is not a de Polignac number, because 82431249 - 2⁸ = 82430993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82431229) 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 15 ways as a sum of consecutive naturals, for example, 56244 + ... + 57690.

It is an arithmetic number, because the mean of its divisors is an integer number (7284888).

Almost surely, 2^82431249 is an apocalyptic number.

It is an amenable number.

82431249 is a deficient number, since it is larger than the sum of its proper divisors (34126959).

82431249 is a wasteful number, since it uses less digits than its factorization.

82431249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584.

The product of its digits is 13824, while the sum is 33.

The square root of 82431249 is about 9079.1656554994. The cubic root of 82431249 is about 435.2084243640.

The spelling of 82431249 in words is "eighty-two million, four hundred thirty-one thousand, two hundred forty-nine".