82256131 has 2 divisors, whose sum is σ = 82256132. Its totient is φ = 82256130.

The previous prime is 82256129. The next prime is 82256171. The reversal of 82256131 is 13165228.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82256131 - 2¹ = 82256129 is a prime.

It is a super-2 number, since 2×82256131² = 13532142174178322, which contains 22 as substring.

Together with 82256129, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 82256131.

It is not a weakly prime, because it can be changed into another prime (82256171) 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 as a sum of consecutive naturals, namely, 41128065 + 41128066.

It is an arithmetic number, because the mean of its divisors is an integer number (41128066).

Almost surely, 2^82256131 is an apocalyptic number.

82256131 is a deficient number, since it is larger than the sum of its proper divisors (1).

82256131 is an equidigital number, since it uses as much as digits as its factorization.

82256131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 82256131 is about 9069.5165802814. The cubic root of 82256131 is about 434.9000184186.

It can be divided in two parts, 822 and 56131, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 82256131 in words is "eighty-two million, two hundred fifty-six thousand, one hundred thirty-one".