13833936 has 80 divisors (see below), whose sum is σ = 41029120. Its totient is φ = 4458240.

The previous prime is 13833913. The next prime is 13833943. The reversal of 13833936 is 63933831.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13833936.

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, 12876 + ... + 13908.

It is an arithmetic number, because the mean of its divisors is an integer number (512864).

Almost surely, 2^13833936 is an apocalyptic number.

13833936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13833936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20514560).

13833936 is an abundant number, since it is smaller than the sum of its proper divisors (27195184).

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

13833936 is a wasteful number, since it uses less digits than its factorization.

13833936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 13833936 is about 3719.3999516051. The cubic root of 13833936 is about 240.0574862295.

The spelling of 13833936 in words is "thirteen million, eight hundred thirty-three thousand, nine hundred thirty-six".