6820013 has 2 divisors, whose sum is σ = 6820014. Its totient is φ = 6820012.

The previous prime is 6820007. The next prime is 6820019. The reversal of 6820013 is 3100286.

It is a balanced prime because it is at equal distance from previous prime (6820007) and next prime (6820019).

It can be written as a sum of positive squares in only one way, i.e., 5189284 + 1630729 = 2278^2 + 1277^2 .

It is a cyclic number.

It is not a de Polignac number, because 6820013 - 2⁶ = 6819949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6820019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3410006 + 3410007.

It is an arithmetic number, because the mean of its divisors is an integer number (3410007).

Almost surely, 2^6820013 is an apocalyptic number.

It is an amenable number.

6820013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6820013 is an equidigital number, since it uses as much as digits as its factorization.

6820013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 6820013 is about 2611.5154604176. The cubic root of 6820013 is about 189.6393250013.

Adding to 6820013 its reverse (3100286), we get a palindrome (9920299).

The spelling of 6820013 in words is "six million, eight hundred twenty thousand, thirteen".