705220220017 has 2 divisors, whose sum is σ = 705220220018. Its totient is φ = 705220220016.

The previous prime is 705220219973. The next prime is 705220220041. The reversal of 705220220017 is 710022022507.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547961179536 + 157259040481 = 740244^2 + 396559^2 .

It is a cyclic number.

It is not a de Polignac number, because 705220220017 - 2³⁹ = 155464406129 is a prime.

It is not a weakly prime, because it can be changed into another prime (705220220417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 352610110008 + 352610110009.

It is an arithmetic number, because the mean of its divisors is an integer number (352610110009).

Almost surely, 2^705220220017 is an apocalyptic number.

It is an amenable number.

705220220017 is a deficient number, since it is larger than the sum of its proper divisors (1).

705220220017 is an equidigital number, since it uses as much as digits as its factorization.

705220220017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 705220220017 in words is "seven hundred five billion, two hundred twenty million, two hundred twenty thousand, seventeen".