916 has 6 divisors (see below), whose sum is σ = 1610. Its totient is φ = 456.
The previous prime is 911. The next prime is 919. The reversal of 916 is 619.
916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 900 + 16 = 30^2 + 4^2 .
916 is a strobogrammatic number because it is the same when read upside-down.
It is a plaindrome in base 7, base 9 and base 13.
It is a nialpdrome in base 4, base 11, base 12 and base 15.
It is a self number, because there is not a number n which added to its sum of digits gives 916.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (911) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111 + ... + 118.
It is an amenable number.
916 is a deficient number, since it is larger than the sum of its proper divisors (694).
916 is a wasteful number, since it uses less digits than its factorization.
916 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233 (or 231 counting only the distinct ones).
The product of its digits is 54, while the sum is 16.
The square root of 916 is about 30.2654919008. The cubic root of 916 is about 9.7117722942.
Subtracting from 916 its sum of digits (16), we obtain a square (900 = 302).
It can be divided in two parts, 9 and 16, that multiplied together give a square (144 = 122).
The spelling of 916 in words is "nine hundred sixteen", and thus it is an aban number and an oban number.
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