288833 has 2 divisors, whose sum is σ = 288834. Its totient is φ = 288832.

The previous prime is 288823. The next prime is 288839. The reversal of 288833 is 338882.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 222784 + 66049 = 472^2 + 257^2 .

It is a cyclic number.

It is not a de Polignac number, because 288833 - 2⁴ = 288817 is a prime.

It is a Sophie Germain prime.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 288833.

It is not a weakly prime, because it can be changed into another prime (288839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144416 + 144417.

It is an arithmetic number, because the mean of its divisors is an integer number (144417).

2²⁸⁸⁸³³ is an apocalyptic number.

It is an amenable number.

288833 is a deficient number, since it is larger than the sum of its proper divisors (1).

288833 is an equidigital number, since it uses as much as digits as its factorization.

288833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9216, while the sum is 32.

The square root of 288833 is about 537.4318561455. The cubic root of 288833 is about 66.1021527981.

The spelling of 288833 in words is "two hundred eighty-eight thousand, eight hundred thirty-three".