82000031 has 2 divisors, whose sum is σ = 82000032. Its totient is φ = 82000030.

The previous prime is 81999997. The next prime is 82000049. The reversal of 82000031 is 13000028.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82000031 is a prime.

It is a super-2 number, since 2×82000031² = 13448010168001922, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82000631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41000015 + 41000016.

It is an arithmetic number, because the mean of its divisors is an integer number (41000016).

Almost surely, 2^82000031 is an apocalyptic number.

82000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

82000031 is an equidigital number, since it uses as much as digits as its factorization.

82000031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 82000031 is about 9055.3868498259. The cubic root of 82000031 is about 434.4482033244.

Adding to 82000031 its reverse (13000028), we get a palindrome (95000059).

The spelling of 82000031 in words is "eighty-two million, thirty-one", and thus it is an aban number and an uban number.