34371004667717 has 2 divisors, whose sum is σ = 34371004667718. Its totient is φ = 34371004667716.

The previous prime is 34371004667669. The next prime is 34371004667729. The reversal of 34371004667717 is 71776640017343.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34323967299556 + 47037368161 = 5858666^2 + 216881^2 .

It is an emirp because it is prime and its reverse (71776640017343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34371004667717 - 2³⁰ = 34369930925893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34371004661717) 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, 17185502333858 + 17185502333859.

It is an arithmetic number, because the mean of its divisors is an integer number (17185502333859).

Almost surely, 2^{34371004667717} is an apocalyptic number.

It is an amenable number.

34371004667717 is a deficient number, since it is larger than the sum of its proper divisors (1).

34371004667717 is an equidigital number, since it uses as much as digits as its factorization.

34371004667717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12446784, while the sum is 56.

The spelling of 34371004667717 in words is "thirty-four trillion, three hundred seventy-one billion, four million, six hundred sixty-seven thousand, seven hundred seventeen".