13233744 has 60 divisors (see below), whose sum is σ = 38325300. Its totient is φ = 4257792.

The previous prime is 13233713. The next prime is 13233757. The reversal of 13233744 is 44733231.

13233744 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9072144 + 4161600 = 3012^2 + 2040^2 .

It is a congruent number.

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, 2592 + ... + 5760.

It is an arithmetic number, because the mean of its divisors is an integer number (638755).

Almost surely, 2^13233744 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 13233744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162650).

13233744 is an abundant number, since it is smaller than the sum of its proper divisors (25091556).

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

13233744 is a wasteful number, since it uses less digits than its factorization.

13233744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3203 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 13233744 is about 3637.8213260137. The cubic root of 13233744 is about 236.5343632231.

Adding to 13233744 its reverse (44733231), we get a palindrome (57966975).

The spelling of 13233744 in words is "thirteen million, two hundred thirty-three thousand, seven hundred forty-four".