225185 has 8 divisors (see below), whose sum is σ = 279720. Its totient is φ = 173824.

The previous prime is 225167. The next prime is 225217. The reversal of 225185 is 581522.

It can be written as a sum of positive squares in 4 ways, for example, as 2401 + 222784 = 49^2 + 472^2 .

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 225185 - 2⁸ = 224929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 225185.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 632 + ... + 921.

It is an arithmetic number, because the mean of its divisors is an integer number (34965).

2²²⁵¹⁸⁵ is an apocalyptic number.

It is an amenable number.

225185 is a deficient number, since it is larger than the sum of its proper divisors (54535).

225185 is a wasteful number, since it uses less digits than its factorization.

225185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587.

The product of its digits is 800, while the sum is 23.

The square root of 225185 is about 474.5366160793. The cubic root of 225185 is about 60.8386851279.

The spelling of 225185 in words is "two hundred twenty-five thousand, one hundred eighty-five".