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2113 is a prime number
BaseRepresentation
bin100001000001
32220021
4201001
531423
613441
76106
oct4101
92807
102113
111651
121281
13c67
14aad
1595d
hex841

2113 has 2 divisors, whose sum is σ = 2114. Its totient is φ = 2112.

The previous prime is 2111. The next prime is 2129. The reversal of 2113 is 3112.

Adding to 2113 its reverse (3112), we get a palindrome (5225).

Subtracting 2113 from its reverse (3112), we obtain a palindrome (999).

2113 = 322 + 332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1089 + 1024 = 33^2 + 32^2 .

2113 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 2113 - 21 = 2111 is a prime.

Together with 2111, it forms a pair of twin primes.

2113 is a lucky number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2096 and 2105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 1056 + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (1057).

It is a Proth number, since it is equal to 33 ⋅ 26 + 1 and 33 < 26.

22113 is an apocalyptic number.

2113 is the 33-rd centered square number.

It is an amenable number.

2113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113 is an equidigital number, since it uses as much as digits as its factorization.

2113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 7.

The square root of 2113 is about 45.9673797382. The cubic root of 2113 is about 12.8321619590.

The spelling of 2113 in words is "two thousand, one hundred thirteen".