82788431 has 16 divisors (see below), whose sum is σ = 94618368. Its totient is φ = 71702400.

The previous prime is 82788421. The next prime is 82788449. The reversal of 82788431 is 13488728.

It is not a de Polignac number, because 82788431 - 2⁶ = 82788367 is a prime.

It is a super-2 number, since 2×82788431² = 13707848614883522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82788421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84776 + ... + 85746.

It is an arithmetic number, because the mean of its divisors is an integer number (5913648).

Almost surely, 2^82788431 is an apocalyptic number.

82788431 is a deficient number, since it is larger than the sum of its proper divisors (11829937).

82788431 is a wasteful number, since it uses less digits than its factorization.

82788431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342.

The product of its digits is 86016, while the sum is 41.

The square root of 82788431 is about 9098.8148129303. The cubic root of 82788431 is about 435.8361176719.

The spelling of 82788431 in words is "eighty-two million, seven hundred eighty-eight thousand, four hundred thirty-one".