116585 has 8 divisors (see below), whose sum is σ = 159936. Its totient is φ = 79920.

The previous prime is 116579. The next prime is 116593. The reversal of 116585 is 585611.

116585 = T₁₇₉ + T₁₈₀ + ... + T₁₈₅.

116585 is nontrivially palindromic in base 12.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 116585 - 2⁸ = 116329 is a prime.

116585 is an undulating number in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1631 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (19992).

2¹¹⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

116585 is a deficient number, since it is larger than the sum of its proper divisors (43351).

116585 is an equidigital number, since it uses as much as digits as its factorization.

116585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343.

The product of its digits is 1200, while the sum is 26.

The square root of 116585 is about 341.4454568449. The cubic root of 116585 is about 48.8518362118.

Adding to 116585 its sum of digits (26), we get a palindrome (116611).

The spelling of 116585 in words is "one hundred sixteen thousand, five hundred eighty-five".