8082313 has 2 divisors, whose sum is σ = 8082314. Its totient is φ = 8082312.

The previous prime is 8082311. The next prime is 8082337. The reversal of 8082313 is 3132808.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 2550409 = 2352^2 + 1597^2 .

It is a cyclic number.

It is not a de Polignac number, because 8082313 - 2¹ = 8082311 is a prime.

Together with 8082311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8082311) 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, 4041156 + 4041157.

It is an arithmetic number, because the mean of its divisors is an integer number (4041157).

Almost surely, 2^8082313 is an apocalyptic number.

It is an amenable number.

8082313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8082313 is an equidigital number, since it uses as much as digits as its factorization.

8082313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 8082313 is about 2842.9409068779. The cubic root of 8082313 is about 200.6836024430.

The spelling of 8082313 in words is "eight million, eighty-two thousand, three hundred thirteen".