2966713 has 2 divisors, whose sum is σ = 2966714. Its totient is φ = 2966712.

The previous prime is 2966681. The next prime is 2966723. The reversal of 2966713 is 3176692.

2966713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2408704 + 558009 = 1552^2 + 747^2 .

It is a cyclic number.

It is not a de Polignac number, because 2966713 - 2⁵ = 2966681 is a prime.

It is a super-3 number, since 3×2966713³ = 78333559009541487291, which contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2966723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1483356 + 1483357.

It is an arithmetic number, because the mean of its divisors is an integer number (1483357).

2^2966713 is an apocalyptic number.

It is an amenable number.

2966713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2966713 is an equidigital number, since it uses as much as digits as its factorization.

2966713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 34.

The square root of 2966713 is about 1722.4148745294. The cubic root of 2966713 is about 143.6895478642.

The spelling of 2966713 in words is "two million, nine hundred sixty-six thousand, seven hundred thirteen".