2916 has 21 divisors (see below), whose sum is σ = 7651. Its totient is φ = 972.

The previous prime is 2909. The next prime is 2917. The reversal of 2916 is 6192.

2916 = T_{53} + T_{54}.

The square root of 2916 is 54.

It is a perfect power (a square), and thus also a powerful number.

2916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a nialpdrome in base 3, base 8, base 9, base 11 and base 16.

It is a zygodrome in base 3, base 8 and base 11.

It is not an unprimeable number, because it can be changed into a prime (2917) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 971 + 972 + 973.

2916 is a Friedman number, since it can be written as (9*6*1)^2, using all its digits and the basic arithmetic operations.

2916 is the 54-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2916

2916 is an abundant number, since it is smaller than the sum of its proper divisors (4735).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2916 is an equidigital number, since it uses as much as digits as its factorization.

2916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22 (or 5 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The cubic root of 2916 is about 14.2866094677.

2916 divided by its product of digits (108) gives a cube (27 = 3^{3}).

It can be divided in two parts, 29 and 16, that multiplied together give a palindrome (464).

The spelling of 2916 in words is "two thousand, nine hundred sixteen".

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