289332 has 60 divisors (see below), whose sum is σ = 813120. Its totient is φ = 89424.

The previous prime is 289319. The next prime is 289343. The reversal of 289332 is 233982.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 289296 and 289305.

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 289332.

It is an unprimeable number.

289332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6133 + ... + 6179.

It is an arithmetic number, because the mean of its divisors is an integer number (13552).

2²⁸⁹³³² 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 289332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406560).

289332 is an abundant number, since it is smaller than the sum of its proper divisors (523788).

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

289332 is a wasteful number, since it uses less digits than its factorization.

289332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 289332 is about 537.8959007094. The cubic root of 289332 is about 66.1401978473.

The spelling of 289332 in words is "two hundred eighty-nine thousand, three hundred thirty-two".