2012713 has 2 divisors, whose sum is σ = 2012714. Its totient is φ = 2012712.

The previous prime is 2012711. The next prime is 2012719. The reversal of 2012713 is 3172102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1447209 + 565504 = 1203^2 + 752^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012713 - 2¹ = 2012711 is a prime.

It is a super-3 number, since 3×2012713³ = 24460583330681253291, which contains 333 as substring.

Together with 2012711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2012711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006356 + 1006357.

It is an arithmetic number, because the mean of its divisors is an integer number (1006357).

2^2012713 is an apocalyptic number.

It is an amenable number.

2012713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012713 is an equidigital number, since it uses as much as digits as its factorization.

2012713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2012713 is about 1418.7011665605. The cubic root of 2012713 is about 126.2584976145.

Adding to 2012713 its reverse (3172102), we get a palindrome (5184815).

The spelling of 2012713 in words is "two million, twelve thousand, seven hundred thirteen".