289867 has 8 divisors (see below), whose sum is σ = 313200. Its totient is φ = 268192.

The previous prime is 289859. The next prime is 289871. The reversal of 289867 is 768982.

It is not a de Polignac number, because 289867 - 2³ = 289859 is a prime.

It is a Duffinian number.

289867 is a modest number, since divided by 867 gives 289 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289837) 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, 4884 + ... + 4942.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2²⁸⁹⁸⁶⁷ is an apocalyptic number.

289867 is a deficient number, since it is larger than the sum of its proper divisors (23333).

289867 is an frugal number, since it uses more digits than its factorization.

289867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 289867 is about 538.3929791518. The cubic root of 289867 is about 66.1809390698.

It can be divided in two parts, 289 and 867, that added together give a square (1156 = 34²).

The spelling of 289867 in words is "two hundred eighty-nine thousand, eight hundred sixty-seven".