289152 has 48 divisors (see below), whose sum is σ = 835380. Its totient is φ = 96000.

The previous prime is 289151. The next prime is 289169. The reversal of 289152 is 251982.

289152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1027 + ... + 1277.

2²⁸⁹¹⁵² 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 289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417690).

289152 is an abundant number, since it is smaller than the sum of its proper divisors (546228).

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

289152 is a wasteful number, since it uses less digits than its factorization.

289152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 289152 is about 537.7285560578. The cubic root of 289152 is about 66.1264792295.

It can be divided in two parts, 289 and 152, that added together give a square (441 = 21²).

The spelling of 289152 in words is "two hundred eighty-nine thousand, one hundred fifty-two".