288331 has 8 divisors (see below), whose sum is σ = 304128. Its totient is φ = 273000.

The previous prime is 288317. The next prime is 288349. The reversal of 288331 is 133882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288331 - 2⁷ = 288203 is a prime.

It is a super-2 number, since 2×288331² = 166269531122, which contains 22 as substring.

It is a Duffinian number.

288331 is a lucky number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 288296 and 288305.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136 + ... + 2266.

It is an arithmetic number, because the mean of its divisors is an integer number (38016).

2²⁸⁸³³¹ is an apocalyptic number.

288331 is a deficient number, since it is larger than the sum of its proper divisors (15797).

288331 is a wasteful number, since it uses less digits than its factorization.

288331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233.

The product of its digits is 1152, while the sum is 25.

The square root of 288331 is about 536.9646170838. The cubic root of 288331 is about 66.0638347807.

Subtracting from 288331 its reverse (133882), we obtain a square (154449 = 393²).

The spelling of 288331 in words is "two hundred eighty-eight thousand, three hundred thirty-one".