8027813 has 2 divisors, whose sum is σ = 8027814. Its totient is φ = 8027812.

The previous prime is 8027807. The next prime is 8027819. The reversal of 8027813 is 3187208.

It is a balanced prime because it is at equal distance from previous prime (8027807) and next prime (8027819).

It can be written as a sum of positive squares in only one way, i.e., 6723649 + 1304164 = 2593^2 + 1142^2 .

It is a cyclic number.

It is not a de Polignac number, because 8027813 - 2¹⁰ = 8026789 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8027819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4013906 + 4013907.

It is an arithmetic number, because the mean of its divisors is an integer number (4013907).

Almost surely, 2^8027813 is an apocalyptic number.

It is an amenable number.

8027813 is a deficient number, since it is larger than the sum of its proper divisors (1).

8027813 is an equidigital number, since it uses as much as digits as its factorization.

8027813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 8027813 is about 2833.3395490128. The cubic root of 8027813 is about 200.2315069193.

The spelling of 8027813 in words is "eight million, twenty-seven thousand, eight hundred thirteen".