13224 has 32 divisors (see below), whose sum is σ = 36000. Its totient is φ = 4032.

The previous prime is 13219. The next prime is 13229. The reversal of 13224 is 42231.

13224 = T₅ + T₆ + ... + T₄₂.

13224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 115²-1.

It is an interprime number because it is at equal distance from previous prime (13219) and next prime (13229).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is a Sastry number since concatenated with its successor gives a square.

It is not an unprimeable number, because it can be changed into a prime (13229) by changing a digit.

13224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (1125).

2¹³²²⁴ 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 13224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18000).

13224 is an abundant number, since it is smaller than the sum of its proper divisors (22776).

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

13224 is a wasteful number, since it uses less digits than its factorization.

13224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its digits is 48, while the sum is 12.

The square root of 13224 is about 114.9956520917. The cubic root of 13224 is about 23.6476295586.

Adding to 13224 its reverse (42231), we get a palindrome (55455).

It can be divided in two parts, 1322 and 4, that added together give a triangular number (1326 = T₅₁).

The spelling of 13224 in words is "thirteen thousand, two hundred twenty-four".