968289 has 16 divisors (see below), whose sum is σ = 1507200. Its totient is φ = 552720.

The previous prime is 968273. The next prime is 968291. The reversal of 968289 is 982869.

968289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 968289 - 2⁴ = 968273 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 968289.

It is not an unprimeable number, because it can be changed into a prime (968239) 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, 559 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (94200).

2⁹⁶⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

968289 is a deficient number, since it is larger than the sum of its proper divisors (538911).

968289 is an equidigital number, since it uses as much as digits as its factorization.

968289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 951 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 968289 is about 984.0167681498. The cubic root of 968289 is about 98.9315923708.

It can be divided in two parts, 96 and 8289, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 968289 in words is "nine hundred sixty-eight thousand, two hundred eighty-nine".