225666 has 40 divisors (see below), whose sum is σ = 580800. Its totient is φ = 64152.

The previous prime is 225637. The next prime is 225671. The reversal of 225666 is 666522.

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

It is a plaindrome in base 10.

It is an unprimeable number.

225666 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 19 ways as a sum of consecutive naturals, for example, 1035 + ... + 1233.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2²²⁵⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290400).

225666 is an abundant number, since it is smaller than the sum of its proper divisors (355134).

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

225666 is a wasteful number, since it uses less digits than its factorization.

225666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 225666 is about 475.0431559343. The cubic root of 225666 is about 60.8819719017.

The spelling of 225666 in words is "two hundred twenty-five thousand, six hundred sixty-six".