2112713 has 2 divisors, whose sum is σ = 2112714. Its totient is φ = 2112712.

The previous prime is 2112707. The next prime is 2112727. The reversal of 2112713 is 3172112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1106704 + 1006009 = 1052^2 + 1003^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2112713 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2112691 and 2112700.

It is not a weakly prime, because it can be changed into another prime (2112703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056356 + 1056357.

It is an arithmetic number, because the mean of its divisors is an integer number (1056357).

2^2112713 is an apocalyptic number.

It is an amenable number.

2112713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112713 is an equidigital number, since it uses as much as digits as its factorization.

2112713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 17.

The square root of 2112713 is about 1453.5174577555. The cubic root of 2112713 is about 128.3158095298.

Adding to 2112713 its reverse (3172112), we get a palindrome (5284825).

The spelling of 2112713 in words is "two million, one hundred twelve thousand, seven hundred thirteen".