13838112 has 36 divisors (see below), whose sum is σ = 39352950. Its totient is φ = 4612608.

The previous prime is 13838107. The next prime is 13838129. The reversal of 13838112 is 21183831.

It can be written as a sum of positive squares in only one way, i.e., 13571856 + 266256 = 3684^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23737 + ... + 24312.

Almost surely, 2^13838112 is an apocalyptic number.

13838112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13838112 is an abundant number, since it is smaller than the sum of its proper divisors (25514838).

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

13838112 is a wasteful number, since it uses less digits than its factorization.

13838112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48065 (or 48054 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 13838112 is about 3719.9612901212. The cubic root of 13838112 is about 240.0816388931.

The spelling of 13838112 in words is "thirteen million, eight hundred thirty-eight thousand, one hundred twelve".