163224 has 24 divisors (see below), whose sum is σ = 442260. Its totient is φ = 54384.

The previous prime is 163223. The next prime is 163243. The reversal of 163224 is 422361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 15.

It is a junction number, because it is equal to n+sod(n) for n = 163197 and 163206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1062 + ... + 1205.

2¹⁶³²²⁴ is an apocalyptic number.

It is an amenable number.

163224 is an abundant number, since it is smaller than the sum of its proper divisors (279036).

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

163224 is a wasteful number, since it uses less digits than its factorization.

163224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2272 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 163224 is about 404.0099008688. The cubic root of 163224 is about 54.6505670086.

Adding to 163224 its reverse (422361), we get a palindrome (585585).

It can be divided in two parts, 16 and 3224, that added together give a triangular number (3240 = T₈₀).

The spelling of 163224 in words is "one hundred sixty-three thousand, two hundred twenty-four".