225352 has 16 divisors (see below), whose sum is σ = 447660. Its totient is φ = 105984.

The previous prime is 225349. The next prime is 225353. The reversal of 225352 is 253522.

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 676 = 474^2 + 26^2 .

It is not an unprimeable number, because it can be changed into a prime (225353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 693 + ... + 964.

2²²⁵³⁵² is an apocalyptic number.

It is an amenable number.

225352 is a deficient number, since it is larger than the sum of its proper divisors (222308).

225352 is a wasteful number, since it uses less digits than its factorization.

225352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1676 counting only the distinct ones).

The product of its digits is 600, while the sum is 19.

The square root of 225352 is about 474.7125445994. The cubic root of 225352 is about 60.8537209870.

Adding to 225352 its reverse (253522), we get a palindrome (478874).

The spelling of 225352 in words is "two hundred twenty-five thousand, three hundred fifty-two".