2713 has 2 divisors, whose sum is σ = 2714. Its totient is φ = 2712.

The previous prime is 2711. The next prime is 2719. The reversal of 2713 is 3172.

2713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2704 + 9 = 52^2 + 3^2 .

It is a cyclic number.

It is not a de Polignac number, because 2713 - 2^{1} = 2711 is a prime.

Together with 2711, it forms a pair of twin primes.

It is a nialpdrome in base 14 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2693 and 2702.

It is not a weakly prime, because it can be changed into another prime (2711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1356 + 1357.

It is an arithmetic number, because the mean of its divisors is an integer number (1357).

It is an amenable number.

2713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2713 is an equidigital number, since it uses as much as digits as its factorization.

2713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 42, while the sum is 13.

The square root of 2713 is about 52.0864665724. The cubic root of 2713 is about 13.9470791194.

Adding to 2713 its reverse (3172), we get a palindrome (5885).

It can be divided in two parts, 27 and 13, that multiplied together give a triangular number (351 = T_{26}).

The spelling of 2713 in words is "two thousand, seven hundred thirteen".

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