289884 has 72 divisors (see below), whose sum is σ = 861840. Its totient is φ = 75264.

The previous prime is 289871. The next prime is 289889. The reversal of 289884 is 488982.

It is a happy number.

289884 is nontrivially palindromic in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289884.

It is not an unprimeable number, because it can be changed into a prime (289889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9982 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2²⁸⁹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

289884 is an abundant number, since it is smaller than the sum of its proper divisors (571956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289884 is a wasteful number, since it uses less digits than its factorization.

289884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 289884 is about 538.4087666448. The cubic root of 289884 is about 66.1822328287.

The spelling of 289884 in words is "two hundred eighty-nine thousand, eight hundred eighty-four".