13825344 has 112 divisors (see below), whose sum is σ = 40965120. Its totient is φ = 4085760.

The previous prime is 13825307. The next prime is 13825351. The reversal of 13825344 is 44352831.

It is a super-2 number, since 2×13825344² = 382280273436672, which contains 22 as substring.

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, 72289 + ... + 72479.

It is an arithmetic number, because the mean of its divisors is an integer number (365760).

Almost surely, 2^13825344 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 13825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482560).

13825344 is an abundant number, since it is smaller than the sum of its proper divisors (27139776).

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

13825344 is a wasteful number, since it uses less digits than its factorization.

13825344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 13825344 is about 3718.2447471892. The cubic root of 13825344 is about 240.0077775257.

The spelling of 13825344 in words is "thirteen million, eight hundred twenty-five thousand, three hundred forty-four".