34066309 has 2 divisors, whose sum is σ = 34066310. Its totient is φ = 34066308.

The previous prime is 34066267. The next prime is 34066313. The reversal of 34066309 is 90366043.

34066309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32433025 + 1633284 = 5695^2 + 1278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34066309 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34066379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17033154 + 17033155.

It is an arithmetic number, because the mean of its divisors is an integer number (17033155).

Almost surely, 2^34066309 is an apocalyptic number.

It is an amenable number.

34066309 is a deficient number, since it is larger than the sum of its proper divisors (1).

34066309 is an equidigital number, since it uses as much as digits as its factorization.

34066309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 34066309 is about 5836.6350751096. The cubic root of 34066309 is about 324.1716467170.

The spelling of 34066309 in words is "thirty-four million, sixty-six thousand, three hundred nine".