116311 has 8 divisors (see below), whose sum is σ = 131040. Its totient is φ = 102432.

The previous prime is 116293. The next prime is 116329. The reversal of 116311 is 113611.

116311 = 26² + 27² + ... + 71².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116293) and next prime (116329).

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 116311 - 2⁵ = 116279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 116291 and 116300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116341) 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, 105 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹¹⁶³¹¹ is an apocalyptic number.

116311 is a deficient number, since it is larger than the sum of its proper divisors (14729).

116311 is a wasteful number, since it uses less digits than its factorization.

116311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425.

The product of its digits is 18, while the sum is 13.

The square root of 116311 is about 341.0439854330. The cubic root of 116311 is about 48.8135353926.

Adding to 116311 its reverse (113611), we get a palindrome (229922).

The spelling of 116311 in words is "one hundred sixteen thousand, three hundred eleven".