289605 has 16 divisors (see below), whose sum is σ = 475200. Its totient is φ = 150528.

The previous prime is 289603. The next prime is 289607. The reversal of 289605 is 506982.

It is an interprime number because it is at equal distance from previous prime (289603) and next prime (289607).

It is not a de Polignac number, because 289605 - 2¹ = 289603 is a prime.

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 289605.

It is not an unprimeable number, because it can be changed into a prime (289603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2²⁸⁹⁶⁰⁵ is an apocalyptic number.

It is an amenable number.

289605 is a deficient number, since it is larger than the sum of its proper divisors (185595).

289605 is a wasteful number, since it uses less digits than its factorization.

289605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 289605 is about 538.1496074513. The cubic root of 289605 is about 66.1609935629.

The spelling of 289605 in words is "two hundred eighty-nine thousand, six hundred five".