288991 has 2 divisors, whose sum is σ = 288992. Its totient is φ = 288990.

The previous prime is 288989. The next prime is 288997. The reversal of 288991 is 199882.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 288991 - 2¹ = 288989 is a prime.

Together with 288989, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 288991.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (288997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144495 + 144496.

It is an arithmetic number, because the mean of its divisors is an integer number (144496).

2²⁸⁸⁹⁹¹ is an apocalyptic number.

288991 is a deficient number, since it is larger than the sum of its proper divisors (1).

288991 is an equidigital number, since it uses as much as digits as its factorization.

288991 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10368, while the sum is 37.

The square root of 288991 is about 537.5788314285. The cubic root of 288991 is about 66.1142038637.

It can be divided in two parts, 28899 and 1, that added together give a square (28900 = 170²).

The spelling of 288991 in words is "two hundred eighty-eight thousand, nine hundred ninety-one".