289536 has 72 divisors (see below), whose sum is σ = 858480. Its totient is φ = 86016.

The previous prime is 289511. The next prime is 289543. The reversal of 289536 is 635982.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 289497 and 289506.

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 289536.

It is an unprimeable number.

289536 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 7 ways as a sum of consecutive naturals, for example, 9970 + ... + 9998.

289536 is a Friedman number, since it can be written as (6+9*5^3)*2^8, using all its digits and the basic arithmetic operations.

2²⁸⁹⁵³⁶ is an apocalyptic number.

289536 is a gapful number since it is divisible by the number (26) 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 289536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429240).

289536 is an abundant number, since it is smaller than the sum of its proper divisors (568944).

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

289536 is a wasteful number, since it uses less digits than its factorization.

289536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 289536 is about 538.0854950656. The cubic root of 289536 is about 66.1557387374.

The spelling of 289536 in words is "two hundred eighty-nine thousand, five hundred thirty-six".