34312535220017 has 2 divisors, whose sum is σ = 34312535220018. Its totient is φ = 34312535220016.

The previous prime is 34312535219983. The next prime is 34312535220031. The reversal of 34312535220017 is 71002253521343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28129435230961 + 6183099989056 = 5303719^2 + 2486584^2 .

It is a cyclic number.

It is not a de Polignac number, because 34312535220017 - 2³⁰ = 34311461478193 is a prime.

It is not a weakly prime, because it can be changed into another prime (34312535220077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17156267610008 + 17156267610009.

It is an arithmetic number, because the mean of its divisors is an integer number (17156267610009).

Almost surely, 2^{34312535220017} is an apocalyptic number.

It is an amenable number.

34312535220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34312535220017 is an equidigital number, since it uses as much as digits as its factorization.

34312535220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 38.

The spelling of 34312535220017 in words is "thirty-four trillion, three hundred twelve billion, five hundred thirty-five million, two hundred twenty thousand, seventeen".