13819232 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 5253120.

The previous prime is 13819231. The next prime is 13819243. The reversal of 13819232 is 23291831.

13819232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13819195 and 13819204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13819231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72257 + ... + 72447.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^13819232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13819232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

13819232 is an abundant number, since it is smaller than the sum of its proper divisors (21017248).

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

13819232 is a wasteful number, since it uses less digits than its factorization.

13819232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 13819232 is about 3717.4227631519. The cubic root of 13819232 is about 239.9724042345.

The spelling of 13819232 in words is "thirteen million, eight hundred nineteen thousand, two hundred thirty-two".