225889 has 2 divisors, whose sum is σ = 225890. Its totient is φ = 225888.

The previous prime is 225871. The next prime is 225919. The reversal of 225889 is 988522.

225889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 140625 + 85264 = 375^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 225889 - 2¹¹ = 223841 is a prime.

225889 is a lucky number.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (225809) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112944 + 112945.

It is an arithmetic number, because the mean of its divisors is an integer number (112945).

2²²⁵⁸⁸⁹ is an apocalyptic number.

It is an amenable number.

225889 is a deficient number, since it is larger than the sum of its proper divisors (1).

225889 is an equidigital number, since it uses as much as digits as its factorization.

225889 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11520, while the sum is 34.

The square root of 225889 is about 475.2778134944. The cubic root of 225889 is about 60.9020195386.

Subtracting from 225889 its product of digits (11520), we obtain a square (214369 = 463²).

The spelling of 225889 in words is "two hundred twenty-five thousand, eight hundred eighty-nine".