225864 has 24 divisors (see below), whose sum is σ = 611910. Its totient is φ = 75264.

The previous prime is 225859. The next prime is 225871. The reversal of 225864 is 468522.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 108900 = 342^2 + 330^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225864.

It is an unprimeable number.

225864 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 5 ways as a sum of consecutive naturals, for example, 1497 + ... + 1640.

2²²⁵⁸⁶⁴ is an apocalyptic number.

225864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225864 is an abundant number, since it is smaller than the sum of its proper divisors (386046).

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

225864 is a wasteful number, since it uses less digits than its factorization.

225864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3149 (or 3142 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 225864 is about 475.2515123595. The cubic root of 225864 is about 60.8997727025.

It can be divided in two parts, 225 and 864, that added together give a square (1089 = 33²).

The spelling of 225864 in words is "two hundred twenty-five thousand, eight hundred sixty-four".