225582 has 32 divisors (see below), whose sum is σ = 532224. Its totient is φ = 62400.

The previous prime is 225581. The next prime is 225583. The reversal of 225582 is 285522.

225582 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225581) and next prime (225583).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1657 + ... + 1787.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2²²⁵⁵⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

225582 is an abundant number, since it is smaller than the sum of its proper divisors (306642).

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

225582 is a wasteful number, since it uses less digits than its factorization.

225582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184.

The product of its digits is 1600, while the sum is 24.

The square root of 225582 is about 474.9547346853. The cubic root of 225582 is about 60.8744169011.

The spelling of 225582 in words is "two hundred twenty-five thousand, five hundred eighty-two".