288189 has 24 divisors (see below), whose sum is σ = 471744. Its totient is φ = 168000.

The previous prime is 288181. The next prime is 288191. The reversal of 288189 is 981882.

288189 = 63² + 64² + ... + 103².

It is not a de Polignac number, because 288189 - 2³ = 288181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288181) 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 23 ways as a sum of consecutive naturals, for example, 4024 + ... + 4094.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2²⁸⁸¹⁸⁹ is an apocalyptic number.

It is an amenable number.

288189 is a deficient number, since it is larger than the sum of its proper divisors (183555).

288189 is a wasteful number, since it uses less digits than its factorization.

288189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 126 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 288189 is about 536.8323760728. The cubic root of 288189 is about 66.0529877507.

The spelling of 288189 in words is "two hundred eighty-eight thousand, one hundred eighty-nine".