225756 has 18 divisors (see below), whose sum is σ = 570752. Its totient is φ = 75240.

The previous prime is 225751. The next prime is 225767. The reversal of 225756 is 657522.

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225751) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3100 + ... + 3171.

2²²⁵⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

225756 is an abundant number, since it is smaller than the sum of its proper divisors (344996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225756 is a wasteful number, since it uses less digits than its factorization.

225756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6276 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 225756 is about 475.1378747269. The cubic root of 225756 is about 60.8900644650.

It can be divided in two parts, 22 and 5756, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 225756 in words is "two hundred twenty-five thousand, seven hundred fifty-six".