284224 has 14 divisors (see below), whose sum is σ = 564134. Its totient is φ = 142080.

The previous prime is 284201. The next prime is 284227. The reversal of 284224 is 422482.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 53824 = 480^2 + 232^2 .

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

It is a d-powerful number, because it can be written as 2⁹ + 8² + 2¹⁴ + 4⁵ + 2¹⁸ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 284195 and 284204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157 + ... + 2284.

2²⁸⁴²²⁴ is an apocalyptic number.

It is an amenable number.

284224 is a deficient number, since it is larger than the sum of its proper divisors (279910).

284224 is an equidigital number, since it uses as much as digits as its factorization.

284224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4443 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 284224 is about 533.1266266095. The cubic root of 284224 is about 65.7486614637.

The spelling of 284224 in words is "two hundred eighty-four thousand, two hundred twenty-four".