225393 has 8 divisors (see below), whose sum is σ = 343488. Its totient is φ = 128784.

The previous prime is 225383. The next prime is 225427. The reversal of 225393 is 393522.

225393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 225393 - 2⁹ = 224881 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.

It is a Curzon number.

225393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5346 + ... + 5387.

It is an arithmetic number, because the mean of its divisors is an integer number (42936).

2²²⁵³⁹³ is an apocalyptic number.

It is an amenable number.

225393 is a deficient number, since it is larger than the sum of its proper divisors (118095).

225393 is a wasteful number, since it uses less digits than its factorization.

225393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743.

The product of its digits is 1620, while the sum is 24.

The square root of 225393 is about 474.7557266637. The cubic root of 225393 is about 60.8574112897.

It can be divided in two parts, 2253 and 93, that added together give a triangular number (2346 = T₆₈).

The spelling of 225393 in words is "two hundred twenty-five thousand, three hundred ninety-three".