225856 has 14 divisors (see below), whose sum is σ = 448310. Its totient is φ = 112896.

The previous prime is 225839. The next prime is 225859. The reversal of 225856 is 658522.

It can be written as a sum of positive squares in only one way, i.e., 147456 + 78400 = 384^2 + 280^2 .

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (225859) 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 as a sum of consecutive naturals, namely, 1701 + ... + 1828.

2²²⁵⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

225856 is a deficient number, since it is larger than the sum of its proper divisors (222454).

225856 is an equidigital number, since it uses as much as digits as its factorization.

225856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3531 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 225856 is about 475.2430956889. The cubic root of 225856 is about 60.8990536800.

It can be divided in two parts, 225 and 856, that added together give a triangular number (1081 = T₄₆).

The spelling of 225856 in words is "two hundred twenty-five thousand, eight hundred fifty-six".