82704245726017 has 2 divisors, whose sum is σ = 82704245726018. Its totient is φ = 82704245726016.

The previous prime is 82704245725987. The next prime is 82704245726027. The reversal of 82704245726017 is 71062754240728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59893343768241 + 22810901957776 = 7739079^2 + 4776076^2 .

It is a cyclic number.

It is not a de Polignac number, because 82704245726017 - 2¹¹ = 82704245723969 is a prime.

It is a super-2 number, since 2×82704245726017² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (82704245726027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41352122863008 + 41352122863009.

It is an arithmetic number, because the mean of its divisors is an integer number (41352122863009).

Almost surely, 2^{82704245726017} is an apocalyptic number.

It is an amenable number.

82704245726017 is a deficient number, since it is larger than the sum of its proper divisors (1).

82704245726017 is an equidigital number, since it uses as much as digits as its factorization.

82704245726017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10536960, while the sum is 55.

The spelling of 82704245726017 in words is "eighty-two trillion, seven hundred four billion, two hundred forty-five million, seven hundred twenty-six thousand, seventeen".