288289 has 4 divisors (see below), whose sum is σ = 298260. Its totient is φ = 278320.

The previous prime is 288283. The next prime is 288293. The reversal of 288289 is 982882.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 46225 + 242064 = 215^2 + 492^2 .

It is a cyclic number.

It is not a de Polignac number, because 288289 - 2⁵ = 288257 is a prime.

It is a super-2 number, since 2×288289² = 166221095042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288283) 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, 4942 + ... + 4999.

It is an arithmetic number, because the mean of its divisors is an integer number (74565).

2²⁸⁸²⁸⁹ is an apocalyptic number.

288289 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

288289 is a deficient number, since it is larger than the sum of its proper divisors (9971).

288289 is an equidigital number, since it uses as much as digits as its factorization.

288289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9970.

The product of its digits is 18432, while the sum is 37.

The square root of 288289 is about 536.9255069374. The cubic root of 288289 is about 66.0606268752.

The spelling of 288289 in words is "two hundred eighty-eight thousand, two hundred eighty-nine".