13824252 has 72 divisors (see below), whose sum is σ = 38118080. Its totient is φ = 4199040.

The previous prime is 13824241. The next prime is 13824263. The reversal of 13824252 is 25242831.

It is an interprime number because it is at equal distance from previous prime (13824241) and next prime (13824263).

It is a super-2 number, since 2×13824252² = 382219886719008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50877 + ... + 51147.

Almost surely, 2^13824252 is an apocalyptic number.

13824252 is a gapful number since it is divisible by the number (12) 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 13824252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19059040).

13824252 is an abundant number, since it is smaller than the sum of its proper divisors (24293828).

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

13824252 is a wasteful number, since it uses less digits than its factorization.

13824252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 398 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 13824252 is about 3718.0979008090. The cubic root of 13824252 is about 240.0014583245.

The spelling of 13824252 in words is "thirteen million, eight hundred twenty-four thousand, two hundred fifty-two".