225936 has 40 divisors (see below), whose sum is σ = 649760. Its totient is φ = 75168.

The previous prime is 225931. The next prime is 225941. The reversal of 225936 is 639522.

It is an interprime number because it is at equal distance from previous prime (225931) and next prime (225941).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3240) is a multiple of the sum of its prime factors (540).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225931) by changing a digit.

225936 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, 171 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (16244).

2²²⁵⁹³⁶ 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 225936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324880).

225936 is an abundant number, since it is smaller than the sum of its proper divisors (423824).

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

225936 is a wasteful number, since it uses less digits than its factorization.

225936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 225936 is about 475.3272556881. The cubic root of 225936 is about 60.9062431417.

The spelling of 225936 in words is "two hundred twenty-five thousand, nine hundred thirty-six".