8042213 has 2 divisors, whose sum is σ = 8042214. Its totient is φ = 8042212.

The previous prime is 8042201. The next prime is 8042239. The reversal of 8042213 is 3122408.

8042213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6880129 + 1162084 = 2623^2 + 1078^2 .

It is a cyclic number.

It is not a de Polignac number, because 8042213 - 2⁴ = 8042197 is a prime.

It is a super-3 number, since 3×8042213³ (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8042413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4021106 + 4021107.

It is an arithmetic number, because the mean of its divisors is an integer number (4021107).

Almost surely, 2^8042213 is an apocalyptic number.

It is an amenable number.

8042213 is a deficient number, since it is larger than the sum of its proper divisors (1).

8042213 is an equidigital number, since it uses as much as digits as its factorization.

8042213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8042213 is about 2835.8795813645. The cubic root of 8042213 is about 200.3511580792.

The spelling of 8042213 in words is "eight million, forty-two thousand, two hundred thirteen".