2116 has 9 divisors (see below), whose sum is σ = 3871. Its totient is φ = 1012.

The previous prime is 2113. The next prime is 2129. The reversal of 2116 is 6112.

2116 = T_{45} + T_{46}.

The square root of 2116 is 46.

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

It is a Duffinian number.

It is a plaindrome in base 6.

It is a nialpdrome in base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (2111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 81 + ... + 103.

2116 is the 46-th square number.

It is an amenable number.

2116 is a deficient number, since it is larger than the sum of its proper divisors (1755).

2116 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 2116 = (6112)_{7}.

2116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 25 counting only the distinct ones).

The product of its digits is 12, while the sum is 10.

The cubic root of 2116 is about 12.8382320460.

Adding to 2116 its reverse (6112), we get a palindrome (8228).

It can be divided in two parts, 2 and 116, that multiplied together give a palindrome (232).

The spelling of 2116 in words is "two thousand, one hundred sixteen".

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