225784 has 24 divisors (see below), whose sum is σ = 461160. Its totient is φ = 103584.

The previous prime is 225781. The next prime is 225809. The reversal of 225784 is 487522.

225784 = T₇₂ + T₇₃ + ... + T₁₁₉.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1269 + ... + 1435.

It is an arithmetic number, because the mean of its divisors is an integer number (19215).

2²²⁵⁷⁸⁴ 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 225784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230580).

225784 is an abundant number, since it is smaller than the sum of its proper divisors (235376).

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

225784 is a wasteful number, since it uses less digits than its factorization.

225784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 225784 is about 475.1673389449. The cubic root of 225784 is about 60.8925817128.

It can be divided in two parts, 225 and 784, that multiplied together give a square (176400 = 420²).

The spelling of 225784 in words is "two hundred twenty-five thousand, seven hundred eighty-four".