288321 has 8 divisors (see below), whose sum is σ = 419424. Its totient is φ = 174720.

The previous prime is 288317. The next prime is 288349. The reversal of 288321 is 123882.

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

It is not a de Polignac number, because 288321 - 2² = 288317 is a prime.

288321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 288291 and 288300.

It is not an unprimeable number, because it can be changed into a prime (288361) 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 7 ways as a sum of consecutive naturals, for example, 4336 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (52428).

2²⁸⁸³²¹ is an apocalyptic number.

It is an amenable number.

288321 is a deficient number, since it is larger than the sum of its proper divisors (131103).

288321 is a wasteful number, since it uses less digits than its factorization.

288321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751.

The product of its digits is 768, while the sum is 24.

The square root of 288321 is about 536.9553054026. The cubic root of 288321 is about 66.0630710219.

The spelling of 288321 in words is "two hundred eighty-eight thousand, three hundred twenty-one".