225297 has 6 divisors (see below), whose sum is σ = 325442. Its totient is φ = 150192.

The previous prime is 225289. The next prime is 225299. The reversal of 225297 is 792522.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 77841 = 384^2 + 279^2 .

It is not a de Polignac number, because 225297 - 2³ = 225289 is a prime.

It is a d-powerful number, because it can be written as 2 + 2¹⁵ + 2¹⁷ + 5 + 9⁵ + 7⁴ .

It is a Duffinian number.

225297 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 225297.

It is not an unprimeable number, because it can be changed into a prime (225299) 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 5 ways as a sum of consecutive naturals, for example, 12508 + ... + 12525.

2²²⁵²⁹⁷ is an apocalyptic number.

It is an amenable number.

225297 is a deficient number, since it is larger than the sum of its proper divisors (100145).

225297 is a wasteful number, since it uses less digits than its factorization.

225297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25039 (or 25036 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 225297 is about 474.6546112701. The cubic root of 225297 is about 60.8487698780.

The spelling of 225297 in words is "two hundred twenty-five thousand, two hundred ninety-seven".