288929 has 2 divisors, whose sum is σ = 288930. Its totient is φ = 288928.

The previous prime is 288913. The next prime is 288931. The reversal of 288929 is 929882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286225 + 2704 = 535^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 288929 - 2⁴ = 288913 is a prime.

Together with 288931, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 288892 and 288901.

It is not a weakly prime, because it can be changed into another prime (288979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144464 + 144465.

It is an arithmetic number, because the mean of its divisors is an integer number (144465).

2²⁸⁸⁹²⁹ is an apocalyptic number.

It is an amenable number.

288929 is a deficient number, since it is larger than the sum of its proper divisors (1).

288929 is an equidigital number, since it uses as much as digits as its factorization.

288929 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 38.

The square root of 288929 is about 537.5211623741. The cubic root of 288929 is about 66.1094754883.

The spelling of 288929 in words is "two hundred eighty-eight thousand, nine hundred twenty-nine".