225306 has 12 divisors (see below), whose sum is σ = 488202. Its totient is φ = 75096.

The previous prime is 225299. The next prime is 225307. The reversal of 225306 is 603522.

Added to its reverse (603522) it gives a triangular number (828828 = T₁₂₈₇).

It can be written as a sum of positive squares in only one way, i.e., 140625 + 84681 = 375^2 + 291^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12517 = 225306 / (2 + 2 + 5 + 3 + 0 + 6).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (225307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6241 + ... + 6276.

2²²⁵³⁰⁶ is an apocalyptic number.

225306 is an abundant number, since it is smaller than the sum of its proper divisors (262896).

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

225306 is a wasteful number, since it uses less digits than its factorization.

225306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 225306 is about 474.6640917533. The cubic root of 225306 is about 60.8495801146.

Adding to 225306 its reverse (603522), we get a palindrome (828828).

The spelling of 225306 in words is "two hundred twenty-five thousand, three hundred six".