225743 has 12 divisors (see below), whose sum is σ = 279072. Its totient is φ = 181440.

The previous prime is 225733. The next prime is 225749. The reversal of 225743 is 347522.

It is not a de Polignac number, because 225743 - 2¹⁴ = 209359 is a prime.

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁷ + 7 + 5⁷ + 4⁷ + 3³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225749) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698 + ... + 968.

It is an arithmetic number, because the mean of its divisors is an integer number (23256).

2²²⁵⁷⁴³ is an apocalyptic number.

225743 is a deficient number, since it is larger than the sum of its proper divisors (53329).

225743 is a wasteful number, since it uses less digits than its factorization.

225743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 295 counting only the distinct ones).

The product of its digits is 1680, while the sum is 23.

The square root of 225743 is about 475.1241942903. The cubic root of 225743 is about 60.8888956721. Note that the first 4 decimals are identical.

The spelling of 225743 in words is "two hundred twenty-five thousand, seven hundred forty-three".