288805 has 16 divisors (see below), whose sum is σ = 388800. Its totient is φ = 204160.

The previous prime is 288803. The next prime is 288817. The reversal of 288805 is 508882.

It is not a de Polignac number, because 288805 - 2¹ = 288803 is a prime.

288805 is a lucky number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288803) 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 15 ways as a sum of consecutive naturals, for example, 3201 + ... + 3289.

It is an arithmetic number, because the mean of its divisors is an integer number (24300).

2²⁸⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

288805 is a deficient number, since it is larger than the sum of its proper divisors (99995).

288805 is a wasteful number, since it uses less digits than its factorization.

288805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 288805 is about 537.4058056999. The cubic root of 288805 is about 66.1000167078.

It can be divided in two parts, 28880 and 5, that multiplied together give a square (144400 = 380²).

The spelling of 288805 in words is "two hundred eighty-eight thousand, eight hundred five".