2004713 has 2 divisors, whose sum is σ = 2004714. Its totient is φ = 2004712.

The previous prime is 2004701. The next prime is 2004719. The reversal of 2004713 is 3174002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1605289 + 399424 = 1267^2 + 632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2004713 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2004691 and 2004700.

It is not a weakly prime, because it can be changed into another prime (2004719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002356 + 1002357.

It is an arithmetic number, because the mean of its divisors is an integer number (1002357).

2^2004713 is an apocalyptic number.

It is an amenable number.

2004713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2004713 is an equidigital number, since it uses as much as digits as its factorization.

2004713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 2004713 is about 1415.8788790006. The cubic root of 2004713 is about 126.0909941511.

Adding to 2004713 its reverse (3174002), we get a palindrome (5178715).

It can be divided in two parts, 200 and 4713, that added together give a cube (4913 = 17³).

The spelling of 2004713 in words is "two million, four thousand, seven hundred thirteen".