225307 has 2 divisors, whose sum is σ = 225308. Its totient is φ = 225306.

The previous prime is 225299. The next prime is 225341. The reversal of 225307 is 703522.

It is a happy number.

225307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 225307 - 2³ = 225299 is a prime.

It is not a weakly prime, because it can be changed into another prime (225347) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112653 + 112654.

It is an arithmetic number, because the mean of its divisors is an integer number (112654).

2²²⁵³⁰⁷ is an apocalyptic number.

225307 is a deficient number, since it is larger than the sum of its proper divisors (1).

225307 is an equidigital number, since it uses as much as digits as its factorization.

225307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 225307 is about 474.6651451286. The cubic root of 225307 is about 60.8496701396.

Adding to 225307 its reverse (703522), we get a palindrome (928829).

It can be divided in two parts, 22 and 5307, that added together give a square (5329 = 73²).

The spelling of 225307 in words is "two hundred twenty-five thousand, three hundred seven".