34004657 has 2 divisors, whose sum is σ = 34004658. Its totient is φ = 34004656.

The previous prime is 34004639. The next prime is 34004683. The reversal of 34004657 is 75640043.

34004657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34000561 + 4096 = 5831^2 + 64^2 .

It is a cyclic number.

It is not a de Polignac number, because 34004657 - 2⁸ = 34004401 is a prime.

It is not a weakly prime, because it can be changed into another prime (34004627) 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, 17002328 + 17002329.

It is an arithmetic number, because the mean of its divisors is an integer number (17002329).

Almost surely, 2^34004657 is an apocalyptic number.

It is an amenable number.

34004657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004657 is an equidigital number, since it uses as much as digits as its factorization.

34004657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 34004657 is about 5831.3512156275. The cubic root of 34004657 is about 323.9759705036.

The spelling of 34004657 in words is "thirty-four million, four thousand, six hundred fifty-seven".