225993 has 8 divisors (see below), whose sum is σ = 305856. Its totient is φ = 148400.

The previous prime is 225989. The next prime is 226001. The reversal of 225993 is 399522.

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

It is a cyclic number.

It is not a de Polignac number, because 225993 - 2² = 225989 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225993.

It is not an unprimeable number, because it can be changed into a prime (225943) 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, 318 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (38232).

2²²⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

225993 is a deficient number, since it is larger than the sum of its proper divisors (79863).

225993 is a wasteful number, since it uses less digits than its factorization.

225993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135.

The product of its digits is 4860, while the sum is 30.

The square root of 225993 is about 475.3872105978. The cubic root of 225993 is about 60.9113645978.

The spelling of 225993 in words is "two hundred twenty-five thousand, nine hundred ninety-three".