225762 has 16 divisors (see below), whose sum is σ = 456192. Its totient is φ = 74480.

The previous prime is 225751. The next prime is 225767. The reversal of 225762 is 267522.

It is a plaindrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225762.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1048 + ... + 1244.

It is an arithmetic number, because the mean of its divisors is an integer number (28512).

2²²⁵⁷⁶² is an apocalyptic number.

225762 is an abundant number, since it is smaller than the sum of its proper divisors (230430).

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

225762 is a wasteful number, since it uses less digits than its factorization.

225762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its digits is 1680, while the sum is 24.

The square root of 225762 is about 475.1441886417. The cubic root of 225762 is about 60.8906038928.

It can be divided in two parts, 22576 and 2, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 225762 in words is "two hundred twenty-five thousand, seven hundred sixty-two".