82000631 has 2 divisors, whose sum is σ = 82000632. Its totient is φ = 82000630.

The previous prime is 82000601. The next prime is 82000643. The reversal of 82000631 is 13600028.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 82000631 - 2¹⁰ = 81999607 is a prime.

It is a super-2 number, since 2×82000631² = 13448206968796322, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82000601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41000315 + 41000316.

It is an arithmetic number, because the mean of its divisors is an integer number (41000316).

Almost surely, 2^82000631 is an apocalyptic number.

82000631 is a deficient number, since it is larger than the sum of its proper divisors (1).

82000631 is an equidigital number, since it uses as much as digits as its factorization.

82000631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 82000631 is about 9055.4199792169. The cubic root of 82000631 is about 434.4492629512.

Adding to 82000631 its reverse (13600028), we get a palindrome (95600659).

The spelling of 82000631 in words is "eighty-two million, six hundred thirty-one", and thus it is an aban number.