34135392617 has 2 divisors, whose sum is σ = 34135392618. Its totient is φ = 34135392616.

The previous prime is 34135392601. The next prime is 34135392619. The reversal of 34135392617 is 71629353143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31509445081 + 2625947536 = 177509^2 + 51244^2 .

It is a cyclic number.

It is not a de Polignac number, because 34135392617 - 2⁴ = 34135392601 is a prime.

Together with 34135392619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34135392619) 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, 17067696308 + 17067696309.

It is an arithmetic number, because the mean of its divisors is an integer number (17067696309).

Almost surely, 2^34135392617 is an apocalyptic number.

It is an amenable number.

34135392617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34135392617 is an equidigital number, since it uses as much as digits as its factorization.

34135392617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 408240, while the sum is 44.

The spelling of 34135392617 in words is "thirty-four billion, one hundred thirty-five million, three hundred ninety-two thousand, six hundred seventeen".