34122243033017 has 2 divisors, whose sum is σ = 34122243033018. Its totient is φ = 34122243033016.

The previous prime is 34122243033013. The next prime is 34122243033143. The reversal of 34122243033017 is 71033034222143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27931024170361 + 6191218862656 = 5284981^2 + 2488216^2 .

It is a cyclic number.

It is not a de Polignac number, because 34122243033017 - 2² = 34122243033013 is a prime.

It is not a weakly prime, because it can be changed into another prime (34122243033013) 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, 17061121516508 + 17061121516509.

It is an arithmetic number, because the mean of its divisors is an integer number (17061121516509).

Almost surely, 2^{34122243033017} is an apocalyptic number.

It is an amenable number.

34122243033017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34122243033017 is an equidigital number, since it uses as much as digits as its factorization.

34122243033017 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 34122243033017 in words is "thirty-four trillion, one hundred twenty-two billion, two hundred forty-three million, thirty-three thousand, seventeen".