13823712 has 72 divisors (see below), whose sum is σ = 44933616. Its totient is φ = 3949056.

The previous prime is 13823627. The next prime is 13823717. The reversal of 13823712 is 21732831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823717) 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 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (624078).

Almost surely, 2^13823712 is an apocalyptic number.

13823712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13823712 is an abundant number, since it is smaller than the sum of its proper divisors (31109904).

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

13823712 is a wasteful number, since it uses less digits than its factorization.

13823712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6869 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13823712 is about 3718.0252823239. The cubic root of 13823712 is about 239.9983333218.

It can be divided in two parts, 13823 and 712, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 13823712 in words is "thirteen million, eight hundred twenty-three thousand, seven hundred twelve".