2117 has 4 divisors (see below), whose sum is σ = 2220. Its totient is φ = 2016.

The previous prime is 2113. The next prime is 2129. The reversal of 2117 is 7112.

It is a Cunningham number, because it is equal to 46^{2}+1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 961 = 34^2 + 31^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117 - 2^{2} = 2113 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 6.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2098 and 2107.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (555).

2^{2117} is an apocalyptic number.

It is an amenable number.

2117 is a deficient number, since it is larger than the sum of its proper divisors (103).

2117 is an equidigital number, since it uses as much as digits as its factorization.

2117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 14, while the sum is 11.

The square root of 2117 is about 46.0108682813. The cubic root of 2117 is about 12.8402541333.

Adding to 2117 its reverse (7112), we get a palindrome (9229).

The spelling of 2117 in words is "two thousand, one hundred seventeen", and thus it is an iban number.

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