116809 has 16 divisors (see below), whose sum is σ = 153216. Its totient is φ = 86400.

The previous prime is 116803. The next prime is 116819. The reversal of 116809 is 908611.

116809 = 98² + 99² + ... + 108².

It is a cyclic number.

It is not a de Polignac number, because 116809 - 2⁷ = 116681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116803) 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, 2829 + ... + 2869.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2¹¹⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

116809 is a deficient number, since it is larger than the sum of its proper divisors (36407).

116809 is a wasteful number, since it uses less digits than its factorization.

116809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 116809 is about 341.7733166881. The cubic root of 116809 is about 48.8831032716.

The spelling of 116809 in words is "one hundred sixteen thousand, eight hundred nine".