13838903 has 8 divisors (see below), whose sum is σ = 14994000. Its totient is φ = 12772344.

The previous prime is 13838879. The next prime is 13838921. The reversal of 13838903 is 30983831.

It is not a de Polignac number, because 13838903 - 2¹⁶ = 13773367 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13838933) 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 in 7 ways as a sum of consecutive naturals, for example, 953 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^13838903 is an apocalyptic number.

13838903 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13838903 is a deficient number, since it is larger than the sum of its proper divisors (1155097).

13838903 is an frugal number, since it uses more digits than its factorization.

13838903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 13838903 is about 3720.0676069125. The cubic root of 13838903 is about 240.0862132396.

It can be divided in two parts, 13838 and 903, that added together give a palindrome (14741).

The spelling of 13838903 in words is "thirteen million, eight hundred thirty-eight thousand, nine hundred three".