289712 has 20 divisors (see below), whose sum is σ = 591480. Its totient is φ = 137088.

The previous prime is 289669. The next prime is 289717. The reversal of 289712 is 217982.

It is a happy number.

289712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (289717) by changing a digit.

289712 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, 173 + ... + 780.

It is an arithmetic number, because the mean of its divisors is an integer number (29574).

2²⁸⁹⁷¹² is an apocalyptic number.

It is an amenable number.

289712 is an abundant number, since it is smaller than the sum of its proper divisors (301768).

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

289712 is a wasteful number, since it uses less digits than its factorization.

289712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 974 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 289712 is about 538.2490130042. The cubic root of 289712 is about 66.1691406996.

It can be divided in two parts, 289 and 712, that added together give a palindrome (1001).

The spelling of 289712 in words is "two hundred eighty-nine thousand, seven hundred twelve".