82431 has 16 divisors (see below), whose sum is σ = 126720. Its totient is φ = 52920.

The previous prime is 82421. The next prime is 82457. The reversal of 82431 is 13428.

It is a happy number.

It is not a de Polignac number, because 82431 - 2⁹ = 81919 is a prime.

It is a super-2 number, since 2×82431² = 13589739522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 1196.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁸²⁴³¹ is an apocalyptic number.

82431 is a deficient number, since it is larger than the sum of its proper divisors (44289).

82431 is a wasteful number, since it uses less digits than its factorization.

82431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 82431 is about 287.1079936191. The cubic root of 82431 is about 43.5207986152.

Adding to 82431 its reverse (13428), we get a palindrome (95859).

The spelling of 82431 in words is "eighty-two thousand, four hundred thirty-one".