82122168960817 has 2 divisors, whose sum is σ = 82122168960818. Its totient is φ = 82122168960816.

The previous prime is 82122168960739. The next prime is 82122168960827. The reversal of 82122168960817 is 71806986122128.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47537701668081 + 34584467292736 = 6894759^2 + 5880856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82122168960817 is a prime.

It is not a weakly prime, because it can be changed into another prime (82122168960827) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41061084480408 + 41061084480409.

It is an arithmetic number, because the mean of its divisors is an integer number (41061084480409).

Almost surely, 2^{82122168960817} is an apocalyptic number.

It is an amenable number.

82122168960817 is a deficient number, since it is larger than the sum of its proper divisors (1).

82122168960817 is an equidigital number, since it uses as much as digits as its factorization.

82122168960817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9289728, while the sum is 61.

The spelling of 82122168960817 in words is "eighty-two trillion, one hundred twenty-two billion, one hundred sixty-eight million, nine hundred sixty thousand, eight hundred seventeen".