34134001217 has 2 divisors, whose sum is σ = 34134001218. Its totient is φ = 34134001216.

The previous prime is 34134001193. The next prime is 34134001243. The reversal of 34134001217 is 71210043143.

It is an a-pointer prime, because the next prime (34134001243) can be obtained adding 34134001217 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20152357681 + 13981643536 = 141959^2 + 118244^2 .

It is an emirp because it is prime and its reverse (71210043143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34134001217 - 2⁸ = 34134000961 is a prime.

It is not a weakly prime, because it can be changed into another prime (34134000217) 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, 17067000608 + 17067000609.

It is an arithmetic number, because the mean of its divisors is an integer number (17067000609).

Almost surely, 2^34134001217 is an apocalyptic number.

It is an amenable number.

34134001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134001217 is an equidigital number, since it uses as much as digits as its factorization.

34134001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 34134001217 in words is "thirty-four billion, one hundred thirty-four million, one thousand, two hundred seventeen".