13838375 has 16 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 10981600.

The previous prime is 13838317. The next prime is 13838413. The reversal of 13838375 is 57383831.

It is a happy number.

It is not a de Polignac number, because 13838375 - 2¹⁸ = 13576231 is a prime.

It is a congruent number.

It is an unprimeable number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18254 + ... + 18996.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 2^13838375 is an apocalyptic number.

13838375 is a deficient number, since it is larger than the sum of its proper divisors (3571225).

13838375 is an equidigital number, since it uses as much as digits as its factorization.

13838375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 13838375 is about 3719.9966397834. The cubic root of 13838375 is about 240.0831598393.

The spelling of 13838375 in words is "thirteen million, eight hundred thirty-eight thousand, three hundred seventy-five".