34117009 has 2 divisors, whose sum is σ = 34117010. Its totient is φ = 34117008.

The previous prime is 34116983. The next prime is 34117033. The reversal of 34117009 is 90071143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33315984 + 801025 = 5772^2 + 895^2 .

It is an emirp because it is prime and its reverse (90071143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34117009 - 2¹¹ = 34114961 is a prime.

It is not a weakly prime, because it can be changed into another prime (34117049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17058504 + 17058505.

It is an arithmetic number, because the mean of its divisors is an integer number (17058505).

Almost surely, 2^34117009 is an apocalyptic number.

It is an amenable number.

34117009 is a deficient number, since it is larger than the sum of its proper divisors (1).

34117009 is an equidigital number, since it uses as much as digits as its factorization.

34117009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 34117009 is about 5840.9767162693. The cubic root of 34117009 is about 324.3323857404.

The spelling of 34117009 in words is "thirty-four million, one hundred seventeen thousand, nine".