116777 has 4 divisors (see below), whose sum is σ = 120576. Its totient is φ = 112980.

The previous prime is 116747. The next prime is 116789. The reversal of 116777 is 777611.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 777611 = 389 ⋅1999.

It is a cyclic number.

It is not a de Polignac number, because 116777 - 2¹⁴ = 100393 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116777.

It is not an unprimeable number, because it can be changed into a prime (116707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1853 + ... + 1914.

It is an arithmetic number, because the mean of its divisors is an integer number (30144).

2¹¹⁶⁷⁷⁷ is an apocalyptic number.

It is an amenable number.

116777 is a deficient number, since it is larger than the sum of its proper divisors (3799).

116777 is an equidigital number, since it uses as much as digits as its factorization.

116777 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798.

The product of its digits is 2058, while the sum is 29.

The square root of 116777 is about 341.7264988262. The cubic root of 116777 is about 48.8786389975.

It can be divided in two parts, 11 and 6777, that multiplied together give a palindrome (74547).

The spelling of 116777 in words is "one hundred sixteen thousand, seven hundred seventy-seven".