82968031 has 2 divisors, whose sum is σ = 82968032. Its totient is φ = 82968030.

The previous prime is 82968029. The next prime is 82968049. The reversal of 82968031 is 13086928.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82968031 - 2¹ = 82968029 is a prime.

It is a super-2 number, since 2×82968031² = 13767388336033922, which contains 22 as substring.

Together with 82968029, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82968001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41484015 + 41484016.

It is an arithmetic number, because the mean of its divisors is an integer number (41484016).

Almost surely, 2^82968031 is an apocalyptic number.

82968031 is a deficient number, since it is larger than the sum of its proper divisors (1).

82968031 is an equidigital number, since it uses as much as digits as its factorization.

82968031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 82968031 is about 9108.6788833508. The cubic root of 82968031 is about 436.1510555209.

The spelling of 82968031 in words is "eighty-two million, nine hundred sixty-eight thousand, thirty-one".