225217 has 2 divisors, whose sum is σ = 225218. Its totient is φ = 225216.

The previous prime is 225167. The next prime is 225221. The reversal of 225217 is 712522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163216 + 62001 = 404^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 225217 - 2⁷ = 225089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 225194 and 225203.

It is not a weakly prime, because it can be changed into another prime (225227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112608 + 112609.

It is an arithmetic number, because the mean of its divisors is an integer number (112609).

2²²⁵²¹⁷ is an apocalyptic number.

It is an amenable number.

225217 is a deficient number, since it is larger than the sum of its proper divisors (1).

225217 is an equidigital number, since it uses as much as digits as its factorization.

225217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 280, while the sum is 19.

The square root of 225217 is about 474.5703319846. The cubic root of 225217 is about 60.8415668262.

Adding to 225217 its reverse (712522), we get a palindrome (937739).

The spelling of 225217 in words is "two hundred twenty-five thousand, two hundred seventeen".