225632 has 24 divisors (see below), whose sum is σ = 485352. Its totient is φ = 102400.

The previous prime is 225629. The next prime is 225637. The reversal of 225632 is 236522.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225637) 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, 32 + ... + 672.

It is an arithmetic number, because the mean of its divisors is an integer number (20223).

2²²⁵⁶³² is an apocalyptic number.

225632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242676).

225632 is an abundant number, since it is smaller than the sum of its proper divisors (259720).

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

225632 is a wasteful number, since it uses less digits than its factorization.

225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 225632 is about 475.0073683639. The cubic root of 225632 is about 60.8789141511.

It can be divided in two parts, 22 and 5632, that multiplied together give a square (123904 = 352²).

The spelling of 225632 in words is "two hundred twenty-five thousand, six hundred thirty-two".