19224 has 32 divisors (see below), whose sum is σ = 54000. Its totient is φ = 6336.

The previous prime is 19219. The next prime is 19231. The reversal of 19224 is 42291.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 13.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 19197 and 19206.

It is a congruent number.

It is an unprimeable number.

19224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172 + ... + 260.

2¹⁹²²⁴ 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 19224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27000).

19224 is an abundant number, since it is smaller than the sum of its proper divisors (34776).

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

19224 is a wasteful number, since it uses less digits than its factorization.

19224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 19224 is about 138.6506400995. The cubic root of 19224 is about 26.7884705735.

It can be divided in two parts, 192 and 24, that added together give a cube (216 = 6³).

The spelling of 19224 in words is "nineteen thousand, two hundred twenty-four".