82872431 has 2 divisors, whose sum is σ = 82872432. Its totient is φ = 82872430.

The previous prime is 82872409. The next prime is 82872437. The reversal of 82872431 is 13427828.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82872431 - 2¹⁴ = 82856047 is a prime.

It is a super-2 number, since 2×82872431² = 13735679639699522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 82872391 and 82872400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82872437) 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 as a sum of consecutive naturals, namely, 41436215 + 41436216.

It is an arithmetic number, because the mean of its divisors is an integer number (41436216).

Almost surely, 2^82872431 is an apocalyptic number.

82872431 is a deficient number, since it is larger than the sum of its proper divisors (1).

82872431 is an equidigital number, since it uses as much as digits as its factorization.

82872431 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 35.

The square root of 82872431 is about 9103.4296284422. The cubic root of 82872431 is about 435.9834726361.

The spelling of 82872431 in words is "eighty-two million, eight hundred seventy-two thousand, four hundred thirty-one".