82368000017 has 2 divisors, whose sum is σ = 82368000018. Its totient is φ = 82368000016.

The previous prime is 82367999927. The next prime is 82368000037. The reversal of 82368000017 is 71000086328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72420730321 + 9947269696 = 269111^2 + 99736^2 .

It is a cyclic number.

It is not a de Polignac number, because 82368000017 - 2¹² = 82367995921 is a prime.

It is not a weakly prime, because it can be changed into another prime (82368000037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41184000008 + 41184000009.

It is an arithmetic number, because the mean of its divisors is an integer number (41184000009).

Almost surely, 2^82368000017 is an apocalyptic number.

It is an amenable number.

82368000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

82368000017 is an equidigital number, since it uses as much as digits as its factorization.

82368000017 is an evil number, because the sum of its binary digits is even.

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

The spelling of 82368000017 in words is "eighty-two billion, three hundred sixty-eight million, seventeen", and thus it is an aban number.