289542 has 32 divisors (see below), whose sum is σ = 653184. Its totient is φ = 84800.

The previous prime is 289511. The next prime is 289543. The reversal of 289542 is 245982.

It is a plaindrome in base 15.

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 289542.

It is not an unprimeable number, because it can be changed into a prime (289543) by changing a digit.

289542 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 15 ways as a sum of consecutive naturals, for example, 2653 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2²⁸⁹⁵⁴² is an apocalyptic number.

289542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 289542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592).

289542 is an abundant number, since it is smaller than the sum of its proper divisors (363642).

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

289542 is a wasteful number, since it uses less digits than its factorization.

289542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 5760, while the sum is 30.

The square root of 289542 is about 538.0910703589. The cubic root of 289542 is about 66.1561957119.

The spelling of 289542 in words is "two hundred eighty-nine thousand, five hundred forty-two".