289016 has 32 divisors (see below), whose sum is σ = 668640. Its totient is φ = 114048.

The previous prime is 289001. The next prime is 289019. The reversal of 289016 is 610982.

289016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (20895).

2²⁸⁹⁰¹⁶ is an apocalyptic number.

289016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334320).

289016 is an abundant number, since it is smaller than the sum of its proper divisors (379624).

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

289016 is a wasteful number, since it uses less digits than its factorization.

289016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 289016 is about 537.6020833293. The cubic root of 289016 is about 66.1161102754.

Adding to 289016 its reverse (610982), we get a palindrome (899998).

The spelling of 289016 in words is "two hundred eighty-nine thousand, sixteen".