13813384 has 48 divisors (see below), whose sum is σ = 29744820. Its totient is φ = 5990400.

The previous prime is 13813369. The next prime is 13813411. The reversal of 13813384 is 48331831.

It can be written as a sum of positive squares in 6 ways, for example, as 6140484 + 7672900 = 2478^2 + 2770^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22684 + ... + 23284.

Almost surely, 2^13813384 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 13813384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872410).

13813384 is an abundant number, since it is smaller than the sum of its proper divisors (15931436).

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

13813384 is a wasteful number, since it uses less digits than its factorization.

13813384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 13813384 is about 3716.6361134768. The cubic root of 13813384 is about 239.9385490819.

The spelling of 13813384 in words is "thirteen million, eight hundred thirteen thousand, three hundred eighty-four".