8406313 has 8 divisors (see below), whose sum is σ = 8926632. Its totient is φ = 7888896.

The previous prime is 8406287. The next prime is 8406337. The reversal of 8406313 is 3136048.

It can be written as a sum of positive squares in 4 ways, for example, as 6985449 + 1420864 = 2643^2 + 1192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8406313 - 2²¹ = 6309161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8401313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9381 + ... + 10237.

It is an arithmetic number, because the mean of its divisors is an integer number (1115829).

Almost surely, 2^8406313 is an apocalyptic number.

It is an amenable number.

8406313 is a deficient number, since it is larger than the sum of its proper divisors (520319).

8406313 is a wasteful number, since it uses less digits than its factorization.

8406313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 8406313 is about 2899.3642406569. The cubic root of 8406313 is about 203.3301832950.

The spelling of 8406313 in words is "eight million, four hundred six thousand, three hundred thirteen".