4004213 has 2 divisors, whose sum is σ = 4004214. Its totient is φ = 4004212.

The previous prime is 4004207. The next prime is 4004219. The reversal of 4004213 is 3124004.

It is a balanced prime because it is at equal distance from previous prime (4004207) and next prime (4004219).

It can be written as a sum of positive squares in only one way, i.e., 3452164 + 552049 = 1858^2 + 743^2 .

It is a cyclic number.

It is not a de Polignac number, because 4004213 - 2¹⁴ = 3987829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4004219) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2002106 + 2002107.

It is an arithmetic number, because the mean of its divisors is an integer number (2002107).

Almost surely, 2^4004213 is an apocalyptic number.

It is an amenable number.

4004213 is a deficient number, since it is larger than the sum of its proper divisors (1).

4004213 is an equidigital number, since it uses as much as digits as its factorization.

4004213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4004213 is about 2001.0529728121. The cubic root of 4004213 is about 158.7958166473.

Adding to 4004213 its reverse (3124004), we get a palindrome (7128217).

The spelling of 4004213 in words is "four million, four thousand, two hundred thirteen".