806317 has 2 divisors, whose sum is σ = 806318. Its totient is φ = 806316.

The previous prime is 806297. The next prime is 806329. The reversal of 806317 is 713608.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 715716 + 90601 = 846^2 + 301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-806317 is a prime.

806317 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 806291 and 806300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (806017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 403158 + 403159.

It is an arithmetic number, because the mean of its divisors is an integer number (403159).

2⁸⁰⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

806317 is a deficient number, since it is larger than the sum of its proper divisors (1).

806317 is an equidigital number, since it uses as much as digits as its factorization.

806317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 806317 is about 897.9515577134. The cubic root of 806317 is about 93.0754773251.

The spelling of 806317 in words is "eight hundred six thousand, three hundred seventeen".