13875936 has 24 divisors (see below), whose sum is σ = 36424584. Its totient is φ = 4625280.

The previous prime is 13875931. The next prime is 13875937. The reversal of 13875936 is 63957831.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875931) 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 3 ways as a sum of consecutive naturals, for example, 72175 + ... + 72366.

It is an arithmetic number, because the mean of its divisors is an integer number (1517691).

Almost surely, 2^13875936 is an apocalyptic number.

13875936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13875936 is an abundant number, since it is smaller than the sum of its proper divisors (22548648).

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

13875936 is a wasteful number, since it uses less digits than its factorization.

13875936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144554 (or 144546 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 13875936 is about 3725.0417447325. The cubic root of 13875936 is about 240.3001799490.

The spelling of 13875936 in words is "thirteen million, eight hundred seventy-five thousand, nine hundred thirty-six".