13838437 has 2 divisors, whose sum is σ = 13838438. Its totient is φ = 13838436.

The previous prime is 13838413. The next prime is 13838449. The reversal of 13838437 is 73483831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13147876 + 690561 = 3626^2 + 831^2 .

It is an emirp because it is prime and its reverse (73483831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13838437 - 2⁷ = 13838309 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13838396 and 13838405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13838837) 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, 6919218 + 6919219.

It is an arithmetic number, because the mean of its divisors is an integer number (6919219).

Almost surely, 2^13838437 is an apocalyptic number.

It is an amenable number.

13838437 is a deficient number, since it is larger than the sum of its proper divisors (1).

13838437 is an equidigital number, since it uses as much as digits as its factorization.

13838437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48384, while the sum is 37.

The square root of 13838437 is about 3720.0049731150. The cubic root of 13838437 is about 240.0835183865.

Subtracting from 13838437 its sum of digits (37), we obtain a square (13838400 = 3720²).

The spelling of 13838437 in words is "thirteen million, eight hundred thirty-eight thousand, four hundred thirty-seven".