289296 has 90 divisors (see below), whose sum is σ = 964782. Its totient is φ = 80640.

The previous prime is 289291. The next prime is 289297. The reversal of 289296 is 692982.

289296 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 only one way, i.e., 176400 + 112896 = 420^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 289296.

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 289296.

It is not an unprimeable number, because it can be changed into a prime (289291) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7036 + ... + 7076.

2²⁸⁹²⁹⁶ 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 289296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482391).

289296 is an abundant number, since it is smaller than the sum of its proper divisors (675486).

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

289296 is a wasteful number, since it uses less digits than its factorization.

289296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 289296 is about 537.8624359444. The cubic root of 289296 is about 66.1374545790.

It can be divided in two parts, 289 and 296, that added together give a palindrome (585).

The spelling of 289296 in words is "two hundred eighty-nine thousand, two hundred ninety-six".