225591 has 8 divisors (see below), whose sum is σ = 311280. Its totient is φ = 145152.

The previous prime is 225583. The next prime is 225601. The reversal of 225591 is 195522.

225591 is nontrivially palindromic in base 4.

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

It is not a de Polignac number, because 225591 - 2³ = 225583 is a prime.

225591 is a lucky 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 225591.

It is not an unprimeable number, because it can be changed into a prime (225581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1210 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (38910).

2²²⁵⁵⁹¹ is an apocalyptic number.

225591 is a deficient number, since it is larger than the sum of its proper divisors (85689).

225591 is a wasteful number, since it uses less digits than its factorization.

225591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625.

The product of its digits is 900, while the sum is 24.

The square root of 225591 is about 474.9642091779. The cubic root of 225591 is about 60.8752264551.

It can be divided in two parts, 2255 and 91, that added together give a triangular number (2346 = T₆₈).

The spelling of 225591 in words is "two hundred twenty-five thousand, five hundred ninety-one".