8405313 has 12 divisors (see below), whose sum is σ = 13037040. Its totient is φ = 4802952.

The previous prime is 8405297. The next prime is 8405329. The reversal of 8405313 is 3135048.

It is an interprime number because it is at equal distance from previous prime (8405297) and next prime (8405329).

It is not a de Polignac number, because 8405313 - 2⁴ = 8405297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8405333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28443 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (1086420).

Almost surely, 2^8405313 is an apocalyptic number.

It is an amenable number.

8405313 is a deficient number, since it is larger than the sum of its proper divisors (4631727).

8405313 is a wasteful number, since it uses less digits than its factorization.

8405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57196 (or 57189 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 8405313 is about 2899.1917839288. The cubic root of 8405313 is about 203.3221203766.

The spelling of 8405313 in words is "eight million, four hundred five thousand, three hundred thirteen".