34004401 has 2 divisors, whose sum is σ = 34004402. Its totient is φ = 34004400.

The previous prime is 34004393. The next prime is 34004407. The reversal of 34004401 is 10440043.

34004401 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., 29160000 + 4844401 = 5400^2 + 2201^2 .

It is an emirp because it is prime and its reverse (10440043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34004401 - 2³ = 34004393 is a prime.

It is not a weakly prime, because it can be changed into another prime (34004407) 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, 17002200 + 17002201.

It is an arithmetic number, because the mean of its divisors is an integer number (17002201).

Almost surely, 2^34004401 is an apocalyptic number.

It is an amenable number.

34004401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34004401 is an equidigital number, since it uses as much as digits as its factorization.

34004401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34004401 is about 5831.3292652705. The cubic root of 34004401 is about 323.9751574968.

Adding to 34004401 its reverse (10440043), we get a palindrome (44444444).

The spelling of 34004401 in words is "thirty-four million, four thousand, four hundred one".