225738 has 12 divisors (see below), whose sum is σ = 489138. Its totient is φ = 75240.

The previous prime is 225733. The next prime is 225749. The reversal of 225738 is 837522.

225738 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 154449 + 71289 = 393^2 + 267^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225733) by changing a digit.

225738 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, 6253 + ... + 6288.

2²²⁵⁷³⁸ is an apocalyptic number.

225738 is an abundant number, since it is smaller than the sum of its proper divisors (263400).

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

225738 is a wasteful number, since it uses less digits than its factorization.

225738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12549 (or 12546 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 225738 is about 475.1189324790. The cubic root of 225738 is about 60.8884461245. Note that the first 3 decimals are identical.

The spelling of 225738 in words is "two hundred twenty-five thousand, seven hundred thirty-eight".