289137 has 8 divisors (see below), whose sum is σ = 398080. Its totient is φ = 186480.

The previous prime is 289129. The next prime is 289139. The reversal of 289137 is 731982.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 289137 - 2³ = 289129 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289137.

It is not an unprimeable number, because it can be changed into a prime (289139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1462 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (49760).

2²⁸⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

289137 is a deficient number, since it is larger than the sum of its proper divisors (108943).

289137 is a wasteful number, since it uses less digits than its factorization.

289137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143.

The product of its digits is 3024, while the sum is 30.

The square root of 289137 is about 537.7146083193. The cubic root of 289137 is about 66.1253357544.

It can be divided in two parts, 28913 and 7, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 289137 in words is "two hundred eighty-nine thousand, one hundred thirty-seven".