116611 has 4 divisors (see below), whose sum is σ = 127224. Its totient is φ = 106000.

The previous prime is 116593. The next prime is 116639.

116611 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 116611 - 2⁵ = 116579 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2, base 6 and base 10.

It is not an unprimeable number, because it can be changed into a prime (116681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5290 + ... + 5311.

It is an arithmetic number, because the mean of its divisors is an integer number (31806).

2¹¹⁶⁶¹¹ is an apocalyptic number.

116611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116611 is a deficient number, since it is larger than the sum of its proper divisors (10613).

116611 is a wasteful number, since it uses less digits than its factorization.

116611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612.

The product of its digits is 36, while the sum is 16.

The square root of 116611 is about 341.4835281533. The cubic root of 116611 is about 48.8554674775.

It can be divided in two parts, 116 and 611, that multiplied together give a triangular number (70876 = T₃₇₆).

The spelling of 116611 in words is "one hundred sixteen thousand, six hundred eleven".