13838413 has 2 divisors, whose sum is σ = 13838414. Its totient is φ = 13838412.

The previous prime is 13838317. The next prime is 13838437. The reversal of 13838413 is 31483831.

13838413 is digitally balanced in base 3, 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., 10220809 + 3617604 = 3197^2 + 1902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13838413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13838453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6919206 + 6919207.

It is an arithmetic number, because the mean of its divisors is an integer number (6919207).

Almost surely, 2^13838413 is an apocalyptic number.

It is an amenable number.

13838413 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838413 is an equidigital number, since it uses as much as digits as its factorization.

13838413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 31.

The square root of 13838413 is about 3720.0017473114. The cubic root of 13838413 is about 240.0833795941.

The spelling of 13838413 in words is "thirteen million, eight hundred thirty-eight thousand, four hundred thirteen".