225589 has 16 divisors (see below), whose sum is σ = 289408. Its totient is φ = 171072.

The previous prime is 225583. The next prime is 225601. The reversal of 225589 is 985522.

It is a happy number.

It is a 5-Lehmer number, since φ(225589) divides (225589-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 225589 - 2³ = 225581 is a prime.

It is a deceptive number, since it divides R₂₂₅₅₈₈.

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 225589.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3334 + ... + 3400.

It is an arithmetic number, because the mean of its divisors is an integer number (18088).

2²²⁵⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

225589 is a deficient number, since it is larger than the sum of its proper divisors (63819).

225589 is a wasteful number, since it uses less digits than its factorization.

225589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 7200, while the sum is 31.

The square root of 225589 is about 474.9621037514. The cubic root of 225589 is about 60.8750465561.

The spelling of 225589 in words is "two hundred twenty-five thousand, five hundred eighty-nine".