7916 has 6 divisors (see below), whose sum is σ = 13860. Its totient is φ = 3956.

The previous prime is 7907. The next prime is 7919. The reversal of 7916 is 6197.

It is a happy number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 7891 and 7900.

It is not an unprimeable number, because it can be changed into a prime (7919) by changing a digit.

7916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 986 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

It is an amenable number.

7916 is a deficient number, since it is larger than the sum of its proper divisors (5944).

7916 is a wasteful number, since it uses less digits than its factorization.

7916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its digits is 378, while the sum is 23.

The square root of 7916 is about 88.9719056781. The cubic root of 7916 is about 19.9297535608.

It can be divided in two parts, 791 and 6, that added together give a palindrome (797).

The spelling of 7916 in words is "seven thousand, nine hundred sixteen".