13004224 has 28 divisors (see below), whose sum is σ = 26236168. Its totient is φ = 6393600.

The previous prime is 13004207. The next prime is 13004261. The reversal of 13004224 is 42240031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13004198 and 13004207.

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 3 ways as a sum of consecutive naturals, for example, 2239 + ... + 5569.

It is an arithmetic number, because the mean of its divisors is an integer number (937006).

Almost surely, 2^13004224 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 13004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13118084).

13004224 is an abundant number, since it is smaller than the sum of its proper divisors (13231944).

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

13004224 is an equidigital number, since it uses as much as digits as its factorization.

13004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13004224 is about 3606.1369912969. The cubic root of 13004224 is about 235.1589327777.

Adding to 13004224 its reverse (42240031), we get a palindrome (55244255).

The spelling of 13004224 in words is "thirteen million, four thousand, two hundred twenty-four".