82705168349 has 2 divisors, whose sum is σ = 82705168350. Its totient is φ = 82705168348.

The previous prime is 82705168331. The next prime is 82705168409. The reversal of 82705168349 is 94386150728.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76152265849 + 6552902500 = 275957^2 + 80950^2 .

It is a cyclic number.

It is not a de Polignac number, because 82705168349 - 2⁸ = 82705168093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82705168349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82705168319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41352584174 + 41352584175.

It is an arithmetic number, because the mean of its divisors is an integer number (41352584175).

It is a 1-persistent number, because it is pandigital, but 2⋅82705168349 = 165410336698 is not.

Almost surely, 2^82705168349 is an apocalyptic number.

It is an amenable number.

82705168349 is a deficient number, since it is larger than the sum of its proper divisors (1).

82705168349 is an equidigital number, since it uses as much as digits as its factorization.

82705168349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 82705168349 in words is "eighty-two billion, seven hundred five million, one hundred sixty-eight thousand, three hundred forty-nine".