225753 has 8 divisors (see below), whose sum is σ = 328416. Its totient is φ = 136800.

The previous prime is 225751. The next prime is 225767. The reversal of 225753 is 357522.

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

It is not a de Polignac number, because 225753 - 2¹ = 225751 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

225753 is a lucky 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 7 ways as a sum of consecutive naturals, for example, 3388 + ... + 3453.

It is an arithmetic number, because the mean of its divisors is an integer number (41052).

2²²⁵⁷⁵³ is an apocalyptic number.

It is an amenable number.

225753 is a deficient number, since it is larger than the sum of its proper divisors (102663).

225753 is a wasteful number, since it uses less digits than its factorization.

225753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855.

The product of its digits is 2100, while the sum is 24.

The square root of 225753 is about 475.1347177380. The cubic root of 225753 is about 60.8897947476.

Subtracting 225753 from its reverse (357522), we obtain a square (131769 = 363²).

It can be divided in two parts, 22575 and 3, that added together give a triangular number (22578 = T₂₁₂).

The spelling of 225753 in words is "two hundred twenty-five thousand, seven hundred fifty-three".