289000 has 48 divisors (see below), whose sum is σ = 718380. Its totient is φ = 108800.

The previous prime is 288997. The next prime is 289001. The reversal of 289000 is 982.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

289000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 228484 = 246^2 + 478^2 .

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (289001) 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, 16992 + ... + 17008.

2²⁸⁹⁰⁰⁰ is an apocalyptic number.

289000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359190).

289000 is an abundant number, since it is smaller than the sum of its proper divisors (429380).

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

289000 is a wasteful number, since it uses less digits than its factorization.

289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 289000 is about 537.5872022286. The cubic root of 289000 is about 66.1148901846.

Adding to 289000 its reverse (982), we get a palindrome (289982).

The spelling of 289000 in words is "two hundred eighty-nine thousand".