225764 has 24 divisors (see below), whose sum is σ = 493248. Its totient is φ = 87840.

The previous prime is 225751. The next prime is 225767. The reversal of 225764 is 467522.

225764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁷ + 7² + 5⁷ + 6 + 4⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225764.

It is not an unprimeable number, because it can be changed into a prime (225767) by changing a digit.

225764 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, 59 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (20552).

2²²⁵⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

225764 is an abundant number, since it is smaller than the sum of its proper divisors (267484).

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

225764 is a wasteful number, since it uses less digits than its factorization.

225764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 225764 is about 475.1462932613. The cubic root of 225764 is about 60.8907836999.

It can be divided in two parts, 225 and 764, that added together give a palindrome (989).

The spelling of 225764 in words is "two hundred twenty-five thousand, seven hundred sixty-four".