8116 has 6 divisors (see below), whose sum is σ = 14210. Its totient is φ = 4056.

The previous prime is 8111. The next prime is 8117. The reversal of 8116 is 6118.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 16 = 90^2 + 4^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011 + ... + 1018.

2⁸¹¹⁶ is an apocalyptic number.

It is an amenable number.

8116 is a deficient number, since it is larger than the sum of its proper divisors (6094).

8116 is a wasteful number, since it uses less digits than its factorization.

8116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2031 counting only the distinct ones).

The product of its digits is 48, while the sum is 16.

The square root of 8116 is about 90.0888450364. The cubic root of 8116 is about 20.0962031722.

Subtracting from 8116 its sum of digits (16), we obtain a square (8100 = 90²).

It can be divided in two parts, 81 and 16, that multiplied together give a 4-th power (1296 = 6⁴).

The spelling of 8116 in words is "eight thousand, one hundred sixteen".