906317 has 2 divisors, whose sum is σ = 906318. Its totient is φ = 906316.

The previous prime is 906313. The next prime is 906329. The reversal of 906317 is 713609.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 857476 + 48841 = 926^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 906317 - 2² = 906313 is a prime.

It is a super-3 number, since 3×906317³ = 2233374912590871039, which contains 333 as substring.

It is a Chen prime.

It is equal to p₇₁₇₂₉ and since 906317 and 71729 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 906317.

It is not a weakly prime, because it can be changed into another prime (906313) 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, 453158 + 453159.

It is an arithmetic number, because the mean of its divisors is an integer number (453159).

2⁹⁰⁶³¹⁷ is an apocalyptic number.

It is an amenable number.

906317 is a deficient number, since it is larger than the sum of its proper divisors (1).

906317 is an equidigital number, since it uses as much as digits as its factorization.

906317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 906317 is about 952.0068277066. The cubic root of 906317 is about 96.7743007729.

The spelling of 906317 in words is "nine hundred six thousand, three hundred seventeen".