225793 has 8 divisors (see below), whose sum is σ = 237600. Its totient is φ = 214368.

The previous prime is 225781. The next prime is 225809. The reversal of 225793 is 397522.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-225793 is a prime.

It is a Duffinian number.

225793 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (225733) 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 in 7 ways as a sum of consecutive naturals, for example, 2493 + ... + 2581.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

It is a Proth number, since it is equal to 441 ⋅ 2⁹ + 1 and 441 < 2⁹.

2²²⁵⁷⁹³ is an apocalyptic number.

It is an amenable number.

225793 is a deficient number, since it is larger than the sum of its proper divisors (11807).

225793 is an equidigital number, since it uses as much as digits as its factorization.

225793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191.

The product of its digits is 3780, while the sum is 28.

The square root of 225793 is about 475.1768091984. The cubic root of 225793 is about 60.8933907839.

The spelling of 225793 in words is "two hundred twenty-five thousand, seven hundred ninety-three".