288015 has 32 divisors (see below), whose sum is σ = 569856. Its totient is φ = 120960.

The previous prime is 288007. The next prime is 288023. The reversal of 288015 is 510882.

288015 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (288007) and next prime (288023).

It is not a de Polignac number, because 288015 - 2³ = 288007 is a prime.

It is an Ulam 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 288015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1260 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (17808).

2²⁸⁸⁰¹⁵ is an apocalyptic number.

288015 is a deficient number, since it is larger than the sum of its proper divisors (281841).

288015 is a wasteful number, since it uses less digits than its factorization.

288015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 288015 is about 536.6702898428. The cubic root of 288015 is about 66.0396914605.

Multiplying 288015 by its product of nonzero digits (640), we get a triangular number (184329600 = T₁₉₂₀₀).

Adding to 288015 its reverse (510882), we get a palindrome (798897).

The spelling of 288015 in words is "two hundred eighty-eight thousand, fifteen".