287224 has 32 divisors (see below), whose sum is σ = 645120. Its totient is φ = 117216.

The previous prime is 287219. The next prime is 287233. The reversal of 287224 is 422782.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

287224 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, 1177 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (20160).

2²⁸⁷²²⁴ 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 287224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322560).

287224 is an abundant number, since it is smaller than the sum of its proper divisors (357896).

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

287224 is a wasteful number, since it uses less digits than its factorization.

287224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 1792, while the sum is 25.

The square root of 287224 is about 535.9328316123. The cubic root of 287224 is about 65.9791792298.

The spelling of 287224 in words is "two hundred eighty-seven thousand, two hundred twenty-four".