13233424 has 40 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 6192000.

The previous prime is 13233413. The next prime is 13233433. The reversal of 13233424 is 42433231.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13233395 and 13233404.

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 7 ways as a sum of consecutive naturals, for example, 30489 + ... + 30919.

It is an arithmetic number, because the mean of its divisors is an integer number (682992).

Almost surely, 2^13233424 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 13233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

13233424 is an abundant number, since it is smaller than the sum of its proper divisors (14086256).

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

13233424 is a wasteful number, since it uses less digits than its factorization.

13233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its digits is 1728, while the sum is 22.

The square root of 13233424 is about 3637.7773433788. Note that the first 3 decimals coincide. The cubic root of 13233424 is about 236.5324566927.

Adding to 13233424 its reverse (42433231), we get a palindrome (55666655).

The spelling of 13233424 in words is "thirteen million, two hundred thirty-three thousand, four hundred twenty-four".