288005 has 4 divisors (see below), whose sum is σ = 345612. Its totient is φ = 230400.

The previous prime is 287977. The next prime is 288007. The reversal of 288005 is 500882.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 500882 = 2 ⋅250441.

It can be written as a sum of positive squares in 2 ways, for example, as 229441 + 58564 = 479^2 + 242^2 .

It is not a de Polignac number, because 288005 - 2¹⁰ = 286981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288005.

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 3 ways as a sum of consecutive naturals, for example, 28796 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (86403).

2²⁸⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

288005 is a deficient number, since it is larger than the sum of its proper divisors (57607).

288005 is an equidigital number, since it uses as much as digits as its factorization.

288005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57606.

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 288005 is about 536.6609730547. The cubic root of 288005 is about 66.0389271432.

Adding to 288005 its reverse (500882), we get a palindrome (788887).

The spelling of 288005 in words is "two hundred eighty-eight thousand, five".