289135 has 16 divisors (see below), whose sum is σ = 433152. Its totient is φ = 180000.

The previous prime is 289129. The next prime is 289139. The reversal of 289135 is 531982.

It is not a de Polignac number, because 289135 - 2³ = 289127 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 760.

It is an arithmetic number, because the mean of its divisors is an integer number (27072).

2²⁸⁹¹³⁵ is an apocalyptic number.

289135 is a deficient number, since it is larger than the sum of its proper divisors (144017).

289135 is a wasteful number, since it uses less digits than its factorization.

289135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774.

The product of its digits is 2160, while the sum is 28.

The square root of 289135 is about 537.7127485935. The cubic root of 289135 is about 66.1251832881.

It can be divided in two parts, 2891 and 35, that added together give a triangular number (2926 = T₇₆).

The spelling of 289135 in words is "two hundred eighty-nine thousand, one hundred thirty-five".