34371004661717 has 2 divisors, whose sum is σ = 34371004661718. Its totient is φ = 34371004661716.

The previous prime is 34371004661687. The next prime is 34371004661723. The reversal of 34371004661717 is 71716640017343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33897384045316 + 473620616401 = 5822146^2 + 688201^2 .

It is an emirp because it is prime and its reverse (71716640017343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34371004661717 - 2³⁸ = 34096126754773 is a prime.

It is a super-2 number, since 2×34371004661717² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34371004661737) 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, 17185502330858 + 17185502330859.

It is an arithmetic number, because the mean of its divisors is an integer number (17185502330859).

Almost surely, 2^{34371004661717} is an apocalyptic number.

It is an amenable number.

34371004661717 is a deficient number, since it is larger than the sum of its proper divisors (1).

34371004661717 is an equidigital number, since it uses as much as digits as its factorization.

34371004661717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1778112, while the sum is 50.

The spelling of 34371004661717 in words is "thirty-four trillion, three hundred seventy-one billion, four million, six hundred sixty-one thousand, seven hundred seventeen".