225257 has 2 divisors, whose sum is σ = 225258. Its totient is φ = 225256.

The previous prime is 225241. The next prime is 225263. The reversal of 225257 is 752522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137641 + 87616 = 371^2 + 296^2 .

It is a cyclic number.

It is not a de Polignac number, because 225257 - 2⁴ = 225241 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225257.

It is not a weakly prime, because it can be changed into another prime (225217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112628 + 112629.

It is an arithmetic number, because the mean of its divisors is an integer number (112629).

2²²⁵²⁵⁷ is an apocalyptic number.

It is an amenable number.

225257 is a deficient number, since it is larger than the sum of its proper divisors (1).

225257 is an equidigital number, since it uses as much as digits as its factorization.

225257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1400, while the sum is 23.

The square root of 225257 is about 474.6124734981. The cubic root of 225257 is about 60.8451685653.

Adding to 225257 its reverse (752522), we get a palindrome (977779).

The spelling of 225257 in words is "two hundred twenty-five thousand, two hundred fifty-seven".