217664244114217 has 2 divisors, whose sum is σ = 217664244114218. Its totient is φ = 217664244114216.

The previous prime is 217664244114173. The next prime is 217664244114461. The reversal of 217664244114217 is 712411442466712.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169164984246336 + 48499259867881 = 13006344^2 + 6964141^2 .

It is a cyclic number.

It is not a de Polignac number, because 217664244114217 - 2¹⁹ = 217664243589929 is a prime.

It is not a weakly prime, because it can be changed into another prime (217664244114017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108832122057108 + 108832122057109.

It is an arithmetic number, because the mean of its divisors is an integer number (108832122057109).

Almost surely, 2^{217664244114217} is an apocalyptic number.

It is an amenable number.

217664244114217 is a deficient number, since it is larger than the sum of its proper divisors (1).

217664244114217 is an equidigital number, since it uses as much as digits as its factorization.

217664244114217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3612672, while the sum is 52.

The spelling of 217664244114217 in words is "two hundred seventeen trillion, six hundred sixty-four billion, two hundred forty-four million, one hundred fourteen thousand, two hundred seventeen".