217225 has 6 divisors (see below), whose sum is σ = 269390. Its totient is φ = 173760.

The previous prime is 217223. The next prime is 217229. The reversal of 217225 is 522712.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 170569 = 216^2 + 413^2 .

It is not a de Polignac number, because 217225 - 2¹ = 217223 is a prime.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (217223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4320 + ... + 4369.

2²¹⁷²²⁵ is an apocalyptic number.

217225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

217225 is a deficient number, since it is larger than the sum of its proper divisors (52165).

217225 is an equidigital number, since it uses as much as digits as its factorization.

217225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8694 counting only the distinct ones).

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

The square root of 217225 is about 466.0740284547. The cubic root of 217225 is about 60.1132121750.

Adding to 217225 its reverse (522712), we get a palindrome (739937).

It can be divided in two parts, 2172 and 25, that added together give a cube (2197 = 13³).

The spelling of 217225 in words is "two hundred seventeen thousand, two hundred twenty-five".