82591931 has 2 divisors, whose sum is σ = 82591932. Its totient is φ = 82591930.

The previous prime is 82591921. The next prime is 82591939. The reversal of 82591931 is 13919528.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82591931 - 2¹⁴ = 82575547 is a prime.

It is a super-2 number, since 2×82591931² = 13642854132617522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (82591939) 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, 41295965 + 41295966.

It is an arithmetic number, because the mean of its divisors is an integer number (41295966).

Almost surely, 2^82591931 is an apocalyptic number.

82591931 is a deficient number, since it is larger than the sum of its proper divisors (1).

82591931 is an equidigital number, since it uses as much as digits as its factorization.

82591931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19440, while the sum is 38.

The square root of 82591931 is about 9088.0102882864. The cubic root of 82591931 is about 435.4910225780.

The spelling of 82591931 in words is "eighty-two million, five hundred ninety-one thousand, nine hundred thirty-one".