1005317 has 2 divisors, whose sum is σ = 1005318. Its totient is φ = 1005316.

The previous prime is 1005313. The next prime is 1005331. The reversal of 1005317 is 7135001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 923521 + 81796 = 961^2 + 286^2 .

It is an emirp because it is prime and its reverse (7135001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1005317 - 2² = 1005313 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005295 and 1005304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005313) 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, 502658 + 502659.

It is an arithmetic number, because the mean of its divisors is an integer number (502659).

2^1005317 is an apocalyptic number.

It is an amenable number.

1005317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005317 is an equidigital number, since it uses as much as digits as its factorization.

1005317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 1005317 is about 1002.6549755524. The cubic root of 1005317 is about 100.1769201414.

The spelling of 1005317 in words is "one million, five thousand, three hundred seventeen".