288829 has 4 divisors (see below), whose sum is σ = 289984. Its totient is φ = 287676.

The previous prime is 288823. The next prime is 288833. The reversal of 288829 is 928882.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 288829 - 2⁹ = 288317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 760.

It is an arithmetic number, because the mean of its divisors is an integer number (72496).

2²⁸⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

288829 is a deficient number, since it is larger than the sum of its proper divisors (1155).

288829 is an equidigital number, since it uses as much as digits as its factorization.

288829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154.

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

The square root of 288829 is about 537.4281347306. The cubic root of 288829 is about 66.1018476508.

It can be divided in two parts, 2 and 88829, that added together give a triangular number (88831 = T₄₂₁).

The spelling of 288829 in words is "two hundred eighty-eight thousand, eight hundred twenty-nine".