289842 has 32 divisors (see below), whose sum is σ = 678912. Its totient is φ = 80784.

The previous prime is 289841. The next prime is 289843. The reversal of 289842 is 248982.

It is an interprime number because it is at equal distance from previous prime (289841) and next prime (289843).

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 289842.

It is not an unprimeable number, because it can be changed into a prime (289841) 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, 2763 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (21216).

2²⁸⁹⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339456).

289842 is an abundant number, since it is smaller than the sum of its proper divisors (389070).

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

289842 is a wasteful number, since it uses less digits than its factorization.

289842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182.

The product of its digits is 9216, while the sum is 33.

The square root of 289842 is about 538.3697614094. The cubic root of 289842 is about 66.1790363914.

It can be divided in two parts, 28 and 9842, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 289842 in words is "two hundred eighty-nine thousand, eight hundred forty-two".