288009 has 8 divisors (see below), whose sum is σ = 426720. Its totient is φ = 191988.

The previous prime is 288007. The next prime is 288023. The reversal of 288009 is 900882.

288009 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 288009 - 2¹ = 288007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 10667 = 288009 / (2 + 8 + 8 + 0 + 0 + 9).

288009 is strictly pandigital in base 7.

It is a Curzon number.

288009 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288009.

It is not an unprimeable number, because it can be changed into a prime (288007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5307 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (53340).

2²⁸⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

288009 is a deficient number, since it is larger than the sum of its proper divisors (138711).

288009 is a wasteful number, since it uses less digits than its factorization.

288009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 288009 is about 536.6646997894. The cubic root of 288009 is about 66.0392328722.

The spelling of 288009 in words is "two hundred eighty-eight thousand, nine".