82578131 has 2 divisors, whose sum is σ = 82578132. Its totient is φ = 82578130.

The previous prime is 82578127. The next prime is 82578151. The reversal of 82578131 is 13187528.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82578131 - 2² = 82578127 is a prime.

It is a super-2 number, since 2×82578131² = 13638295438906322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82578091 and 82578100.

It is not a weakly prime, because it can be changed into another prime (82578151) 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, 41289065 + 41289066.

It is an arithmetic number, because the mean of its divisors is an integer number (41289066).

Almost surely, 2^82578131 is an apocalyptic number.

82578131 is a deficient number, since it is larger than the sum of its proper divisors (1).

82578131 is an equidigital number, since it uses as much as digits as its factorization.

82578131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 35.

The square root of 82578131 is about 9087.2510144708. The cubic root of 82578131 is about 435.4667663309.

The spelling of 82578131 in words is "eighty-two million, five hundred seventy-eight thousand, one hundred thirty-one".