34144013 has 2 divisors, whose sum is σ = 34144014. Its totient is φ = 34144012.

The previous prime is 34144009. The next prime is 34144027. The reversal of 34144013 is 31044143.

It is a happy number.

34144013 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., 34140649 + 3364 = 5843^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 34144013 - 2² = 34144009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34144063) 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, 17072006 + 17072007.

It is an arithmetic number, because the mean of its divisors is an integer number (17072007).

Almost surely, 2^34144013 is an apocalyptic number.

It is an amenable number.

34144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34144013 is an equidigital number, since it uses as much as digits as its factorization.

34144013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 34144013 is about 5843.2878587316. The cubic root of 34144013 is about 324.4179340955.

Adding to 34144013 its reverse (31044143), we get a palindrome (65188156).

The spelling of 34144013 in words is "thirty-four million, one hundred forty-four thousand, thirteen".