288705 has 16 divisors (see below), whose sum is σ = 486720. Its totient is φ = 145728.

The previous prime is 288697. The next prime is 288731. The reversal of 288705 is 507882.

It is not a de Polignac number, because 288705 - 2³ = 288697 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288705.

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, 222 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (30420).

2²⁸⁸⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

288705 is a deficient number, since it is larger than the sum of its proper divisors (198015).

288705 is a wasteful number, since it uses less digits than its factorization.

288705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040.

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 288705 is about 537.3127580842. The cubic root of 288705 is about 66.0923866867.

The spelling of 288705 in words is "two hundred eighty-eight thousand, seven hundred five".