116965 has 8 divisors (see below), whose sum is σ = 142200. Its totient is φ = 92352.

The previous prime is 116959. The next prime is 116969. The reversal of 116965 is 569611.

116965 is nontrivially palindromic in base 13.

It is a Cunningham number, because it is equal to 342²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 116964 = 1^2 + 342^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 116965 - 2⁵ = 116933 is a prime.

It is a super-2 number, since 2×116965² = 27361622450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 823.

It is an arithmetic number, because the mean of its divisors is an integer number (17775).

2¹¹⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

116965 is a deficient number, since it is larger than the sum of its proper divisors (25235).

116965 is a wasteful number, since it uses less digits than its factorization.

116965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its digits is 1620, while the sum is 28.

The square root of 116965 is about 342.0014619852. The cubic root of 116965 is about 48.9048549398.

It can be divided in two parts, 116 and 965, that added together give a triangular number (1081 = T₄₆).

The spelling of 116965 in words is "one hundred sixteen thousand, nine hundred sixty-five".