287985 has 16 divisors (see below), whose sum is σ = 468864. Its totient is φ = 150912.

The previous prime is 287977. The next prime is 288007. The reversal of 287985 is 589782.

287985 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 287985 - 2³ = 287977 is a prime.

287985 is strictly pandigital in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 287985.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 964 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (29304).

2²⁸⁷⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

287985 is a deficient number, since it is larger than the sum of its proper divisors (180879).

287985 is a wasteful number, since it uses less digits than its factorization.

287985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its digits is 40320, while the sum is 39.

The square root of 287985 is about 536.6423389931. The cubic root of 287985 is about 66.0373984555.

The spelling of 287985 in words is "two hundred eighty-seven thousand, nine hundred eighty-five".