82768013 has 2 divisors, whose sum is σ = 82768014. Its totient is φ = 82768012.

The previous prime is 82767983. The next prime is 82768043. The reversal of 82768013 is 31086728.

It is a balanced prime because it is at equal distance from previous prime (82767983) and next prime (82768043).

It can be written as a sum of positive squares in only one way, i.e., 55026724 + 27741289 = 7418^2 + 5267^2 .

It is a cyclic number.

It is not a de Polignac number, because 82768013 - 2⁸ = 82767757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82768043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41384006 + 41384007.

It is an arithmetic number, because the mean of its divisors is an integer number (41384007).

Almost surely, 2^82768013 is an apocalyptic number.

It is an amenable number.

82768013 is a deficient number, since it is larger than the sum of its proper divisors (1).

82768013 is an equidigital number, since it uses as much as digits as its factorization.

82768013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 82768013 is about 9097.6927294782. The cubic root of 82768013 is about 435.8002848331.

The spelling of 82768013 in words is "eighty-two million, seven hundred sixty-eight thousand, thirteen".