225205 has 8 divisors (see below), whose sum is σ = 274392. Its totient is φ = 177408.

The previous prime is 225167. The next prime is 225217. The reversal of 225205 is 502522.

It can be written as a sum of positive squares in 4 ways, for example, as 529 + 224676 = 23^2 + 474^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 225205 - 2⁷ = 225077 is a prime.

It is a Duffinian number.

225205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 57 + ... + 673.

It is an arithmetic number, because the mean of its divisors is an integer number (34299).

2²²⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

225205 is a deficient number, since it is larger than the sum of its proper divisors (49187).

225205 is an equidigital number, since it uses as much as digits as its factorization.

225205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695.

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 225205 is about 474.5576888008. The cubic root of 225205 is about 60.8404862213.

Adding to 225205 its reverse (502522), we get a palindrome (727727).

The spelling of 225205 in words is "two hundred twenty-five thousand, two hundred five".