116679 has 16 divisors (see below), whose sum is σ = 172800. Its totient is φ = 69696.

The previous prime is 116663. The next prime is 116681. The reversal of 116679 is 976611.

116679 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 116679 - 2⁴ = 116663 is a prime.

It is a super-2 number, since 2×116679² = 27227978082, which contains 22 as substring.

116679 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267 + ... + 1355.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2¹¹⁶⁶⁷⁹ is an apocalyptic number.

116679 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116679 is a deficient number, since it is larger than the sum of its proper divisors (56121).

116679 is a wasteful number, since it uses less digits than its factorization.

116679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 2268, while the sum is 30.

The square root of 116679 is about 341.5830792062. The cubic root of 116679 is about 48.8649620828.

Subtracting from 116679 its product of digits (2268), we obtain a palindrome (114411).

The spelling of 116679 in words is "one hundred sixteen thousand, six hundred seventy-nine".