116289 has 16 divisors (see below), whose sum is σ = 177600. Its totient is φ = 75168.

The previous prime is 116279. The next prime is 116293. The reversal of 116289 is 982611.

116289 = 12² + 13² + ... + 70².

It is not a de Polignac number, because 116289 - 2⁴ = 116273 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1557 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (11100).

2¹¹⁶²⁸⁹ is an apocalyptic number.

It is an amenable number.

116289 is a deficient number, since it is larger than the sum of its proper divisors (61311).

116289 is an equidigital number, since it uses as much as digits as its factorization.

116289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 116289 is about 341.0117300035. The cubic root of 116289 is about 48.8104575367.

It can be divided in two parts, 1 and 16289, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 116289 in words is "one hundred sixteen thousand, two hundred eighty-nine".