34413312617 has 2 divisors, whose sum is σ = 34413312618. Its totient is φ = 34413312616.

The previous prime is 34413312611. The next prime is 34413312707. The reversal of 34413312617 is 71621331443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18553436521 + 15859876096 = 136211^2 + 125936^2 .

It is a cyclic number.

It is not a de Polignac number, because 34413312617 - 2²⁸ = 34144877161 is a prime.

It is not a weakly prime, because it can be changed into another prime (34413312611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17206656308 + 17206656309.

It is an arithmetic number, because the mean of its divisors is an integer number (17206656309).

Almost surely, 2^34413312617 is an apocalyptic number.

It is an amenable number.

34413312617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34413312617 is an equidigital number, since it uses as much as digits as its factorization.

34413312617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 35.

The spelling of 34413312617 in words is "thirty-four billion, four hundred thirteen million, three hundred twelve thousand, six hundred seventeen".