13823524 has 45 divisors (see below), whose sum is σ = 28806071. Its totient is φ = 5800080.

The previous prime is 13823503. The next prime is 13823531. The reversal of 13823524 is 42532831.

The square root of 13823524 is 3718.

It is a perfect power (a square), and thus also a powerful number.

13823524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 6969600 = 2618^2 + 2640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13823492 and 13823501.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1063342 + ... + 1063354.

Almost surely, 2^13823524 is an apocalyptic number.

13823524 is the 3718-th square number.

It is an amenable number.

13823524 is an abundant number, since it is smaller than the sum of its proper divisors (14982547).

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

13823524 is an equidigital number, since it uses as much as digits as its factorization.

13823524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 26 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 13823524 is about 239.9972453388.

The spelling of 13823524 in words is "thirteen million, eight hundred twenty-three thousand, five hundred twenty-four".