9116 has 12 divisors (see below), whose sum is σ = 16632. Its totient is φ = 4368.

The previous prime is 9109. The next prime is 9127. The reversal of 9116 is 6119.

It can be divided in two parts, 9 and 116, that added together give a cube (125 = 5^{3}).

9116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

9116 is a strobogrammatic number because it is the same when read upside-down.

It is a plaindrome in base 9 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 9094 and 9103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 9116.

It is an unprimeable number.

9116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 146 + ... + 198.

It is an arithmetic number, because the mean of its divisors is an integer number (1386).

2^{9116} is an apocalyptic number.

It is an amenable number.

9116 is a deficient number, since it is larger than the sum of its proper divisors (7516).

9116 is a wasteful number, since it uses less digits than its factorization.

9116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 98 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 9116 is about 95.4777460982. The cubic root of 9116 is about 20.8898235754.

The spelling of 9116 in words is "nine thousand, one hundred sixteen".

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