289965 has 16 divisors (see below), whose sum is σ = 499968. Its totient is φ = 142656.

The previous prime is 289957. The next prime is 289967. The reversal of 289965 is 569982.

It is a happy number.

It is not a de Polignac number, because 289965 - 2³ = 289957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 289965.

It is not an unprimeable number, because it can be changed into a prime (289967) 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, 549 + ... + 938.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2²⁸⁹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

289965 is a deficient number, since it is larger than the sum of its proper divisors (210003).

289965 is a wasteful number, since it uses less digits than its factorization.

289965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508.

The product of its digits is 38880, while the sum is 39.

The square root of 289965 is about 538.4839830487. The cubic root of 289965 is about 66.1883965144.

The spelling of 289965 in words is "two hundred eighty-nine thousand, nine hundred sixty-five".