34223342031017 has 2 divisors, whose sum is σ = 34223342031018. Its totient is φ = 34223342031016.

The previous prime is 34223342030953. The next prime is 34223342031059. The reversal of 34223342031017 is 71013024332243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29883540629056 + 4339801401961 = 5466584^2 + 2083219^2 .

It is a cyclic number.

It is not a de Polignac number, because 34223342031017 - 2⁶ = 34223342030953 is a prime.

It is not a weakly prime, because it can be changed into another prime (34223342031317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17111671015508 + 17111671015509.

It is an arithmetic number, because the mean of its divisors is an integer number (17111671015509).

Almost surely, 2^{34223342031017} is an apocalyptic number.

It is an amenable number.

34223342031017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34223342031017 is an equidigital number, since it uses as much as digits as its factorization.

34223342031017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 35.

The spelling of 34223342031017 in words is "thirty-four trillion, two hundred twenty-three billion, three hundred forty-two million, thirty-one thousand, seventeen".