34044313 has 2 divisors, whose sum is σ = 34044314. Its totient is φ = 34044312.

The previous prime is 34044277. The next prime is 34044317. The reversal of 34044313 is 31344043.

34044313 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., 31058329 + 2985984 = 5573^2 + 1728^2 .

It is an emirp because it is prime and its reverse (31344043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34044313 is a prime.

It is not a weakly prime, because it can be changed into another prime (34044317) 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, 17022156 + 17022157.

It is an arithmetic number, because the mean of its divisors is an integer number (17022157).

Almost surely, 2^34044313 is an apocalyptic number.

It is an amenable number.

34044313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34044313 is an equidigital number, since it uses as much as digits as its factorization.

34044313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 34044313 is about 5834.7504659582. The cubic root of 34044313 is about 324.1018611041.

Adding to 34044313 its reverse (31344043), we get a palindrome (65388356).

The spelling of 34044313 in words is "thirty-four million, forty-four thousand, three hundred thirteen".