289933 has 12 divisors (see below), whose sum is σ = 346332. Its totient is φ = 241920.

The previous prime is 289897. The next prime is 289937. The reversal of 289933 is 339982.

It can be written as a sum of positive squares in 2 ways, for example, as 56644 + 233289 = 238^2 + 483^2 .

It is a de Polignac number, because none of the positive numbers 2^k-289933 is a prime.

It is a super-2 number, since 2×289933² = 168122288978, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2941 + ... + 3037.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2²⁸⁹⁹³³ is an apocalyptic number.

It is an amenable number.

289933 is a deficient number, since it is larger than the sum of its proper divisors (56399).

289933 is an equidigital number, since it uses as much as digits as its factorization.

289933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 165 counting only the distinct ones).

The product of its digits is 11664, while the sum is 34.

The square root of 289933 is about 538.4542691817. The cubic root of 289933 is about 66.1859616153.

The spelling of 289933 in words is "two hundred eighty-nine thousand, nine hundred thirty-three".