289164 has 12 divisors (see below), whose sum is σ = 674744. Its totient is φ = 96384.

The previous prime is 289151. The next prime is 289169. The reversal of 289164 is 461982.

It is a tau number, because it is divible by the number of its divisors (12).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 289164.

It is not an unprimeable number, because it can be changed into a prime (289169) by changing a digit.

289164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12037 + ... + 12060.

2²⁸⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

289164 is an abundant number, since it is smaller than the sum of its proper divisors (385580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289164 is a wasteful number, since it uses less digits than its factorization.

289164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24102 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 289164 is about 537.7397139881. The cubic root of 289164 is about 66.1273939811.

It can be divided in two parts, 28916 and 4, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 289164 in words is "two hundred eighty-nine thousand, one hundred sixty-four".