289971 has 24 divisors (see below), whose sum is σ = 477360. Its totient is φ = 168000.

The previous prime is 289967. The next prime is 289973. The reversal of 289971 is 179982.

It is a happy number.

It is not a de Polignac number, because 289971 - 2² = 289967 is a prime.

Its product of digits (9072) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (289973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2821 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (19890).

2²⁸⁹⁹⁷¹ is an apocalyptic number.

289971 is a deficient number, since it is larger than the sum of its proper divisors (187389).

289971 is a wasteful number, since it uses less digits than its factorization.

289971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 144 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 289971 is about 538.4895542162. The cubic root of 289971 is about 66.1888530381.

It can be divided in two parts, 28 and 9971, that added together give a palindrome (9999).

The spelling of 289971 in words is "two hundred eighty-nine thousand, nine hundred seventy-one".