225593 has 4 divisors (see below), whose sum is σ = 226548. Its totient is φ = 224640.

The previous prime is 225583. The next prime is 225601. The reversal of 225593 is 395522.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 182329 = 208^2 + 427^2 .

It is a cyclic number.

It is not a de Polignac number, because 225593 - 2⁶ = 225529 is a prime.

It is a super-3 number, since 3×225593³ = 34442773339808571, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 225593.

It is not an unprimeable number, because it can be changed into a prime (225503) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (56637).

225593 is a Friedman number, since it can be written as (95*5)^2-32, using all its digits and the basic arithmetic operations.

2²²⁵⁵⁹³ is an apocalyptic number.

It is an amenable number.

225593 is a deficient number, since it is larger than the sum of its proper divisors (955).

225593 is an equidigital number, since it uses as much as digits as its factorization.

225593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954.

The product of its digits is 2700, while the sum is 26.

The square root of 225593 is about 474.9663145950. The cubic root of 225593 is about 60.8754063531.

It can be divided in two parts, 225 and 593, that added together give a palindrome (818).

The spelling of 225593 in words is "two hundred twenty-five thousand, five hundred ninety-three".