13838900 has 18 divisors (see below), whose sum is σ = 30030630. Its totient is φ = 5535520.

The previous prime is 13838879. The next prime is 13838921. The reversal of 13838900 is 983831.

It is an interprime number because it is at equal distance from previous prime (13838879) and next prime (13838921).

It can be written as a sum of positive squares in 3 ways, for example, as 15376 + 13823524 = 124^2 + 3718^2 .

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 5 ways as a sum of consecutive naturals, for example, 69095 + ... + 69294.

Almost surely, 2^13838900 is an apocalyptic number.

13838900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13838900 is an abundant number, since it is smaller than the sum of its proper divisors (16191730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13838900 is a wasteful number, since it uses less digits than its factorization.

13838900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138403 (or 138396 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 13838900 is about 3720.0672036940. The cubic root of 13838900 is about 240.0861958909.

The spelling of 13838900 in words is "thirteen million, eight hundred thirty-eight thousand, nine hundred".