289982 has 24 divisors (see below), whose sum is σ = 554040. Its totient is φ = 112560.

The previous prime is 289973. The next prime is 289987.

289982 is nontrivially palindromic in base 10.

289982 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 289982.

It is not an unprimeable number, because it can be changed into a prime (289987) by changing a digit.

289982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 944 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (23085).

2²⁸⁹⁹⁸² is an apocalyptic number.

289982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 538×539.

289982 is a deficient number, since it is larger than the sum of its proper divisors (264058).

289982 is a wasteful number, since it uses less digits than its factorization.

289982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 289982 is about 538.4997678737. The cubic root of 289982 is about 66.1896899817.

The spelling of 289982 in words is "two hundred eighty-nine thousand, nine hundred eighty-two".