225584 has 20 divisors (see below), whose sum is σ = 456816. Its totient is φ = 107712.

The previous prime is 225583. The next prime is 225601. The reversal of 225584 is 485522.

It is not an unprimeable number, because it can be changed into a prime (225581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 674.

2²²⁵⁵⁸⁴ 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 225584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228408).

225584 is an abundant number, since it is smaller than the sum of its proper divisors (231232).

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

225584 is a wasteful number, since it uses less digits than its factorization.

225584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its digits is 3200, while the sum is 26.

The square root of 225584 is about 474.9568401444. The cubic root of 225584 is about 60.8745968038.

It can be divided in two parts, 2255 and 84, that multiplied together give a triangular number (189420 = T₆₁₅).

The spelling of 225584 in words is "two hundred twenty-five thousand, five hundred eighty-four".