118224 has 30 divisors (see below), whose sum is σ = 331266. Its totient is φ = 39360.

The previous prime is 118219. The next prime is 118247. The reversal of 118224 is 422811.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 28224 = 300^2 + 168^2 .

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 junction number, because it is equal to n+sod(n) for n = 118197 and 118206.

It is a congruent number.

It is an unprimeable number.

118224 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 5 ways as a sum of consecutive naturals, for example, 267 + ... + 554.

2¹¹⁸²²⁴ is an apocalyptic number.

It is an amenable number.

118224 is an abundant number, since it is smaller than the sum of its proper divisors (213042).

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

118224 is a wasteful number, since it uses less digits than its factorization.

118224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 118224 is about 343.8371707655. The cubic root of 118224 is about 49.0796981508.

It can be divided in two parts, 1 and 18224, that added together give a square (18225 = 135²).

The spelling of 118224 in words is "one hundred eighteen thousand, two hundred twenty-four".