225117 has 6 divisors (see below), whose sum is σ = 325182. Its totient is φ = 150072.

The previous prime is 225109. The next prime is 225119. The reversal of 225117 is 711522.

It can be written as a sum of positive squares in only one way, i.e., 224676 + 441 = 474^2 + 21^2 .

It is not a de Polignac number, because 225117 - 2³ = 225109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225119) 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 in 5 ways as a sum of consecutive naturals, for example, 12498 + ... + 12515.

It is an arithmetic number, because the mean of its divisors is an integer number (54197).

2²²⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

225117 is a deficient number, since it is larger than the sum of its proper divisors (100065).

225117 is a wasteful number, since it uses less digits than its factorization.

225117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25019 (or 25016 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 225117 is about 474.4649618254. The cubic root of 225117 is about 60.8325606124.

Adding to 225117 its reverse (711522), we get a palindrome (936639).

The spelling of 225117 in words is "two hundred twenty-five thousand, one hundred seventeen".