906617 has 2 divisors, whose sum is σ = 906618. Its totient is φ = 906616.

The previous prime is 906613. The next prime is 906641. The reversal of 906617 is 716609.

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., 817216 + 89401 = 904^2 + 299^2 .

It is a cyclic number.

It is not a de Polignac number, because 906617 - 2² = 906613 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 906617.

It is not a weakly prime, because it can be changed into another prime (906613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 453308 + 453309.

It is an arithmetic number, because the mean of its divisors is an integer number (453309).

2⁹⁰⁶⁶¹⁷ is an apocalyptic number.

It is an amenable number.

906617 is a deficient number, since it is larger than the sum of its proper divisors (1).

906617 is an equidigital number, since it uses as much as digits as its factorization.

906617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 906617 is about 952.1643765653. The cubic root of 906617 is about 96.7849773491.

The spelling of 906617 in words is "nine hundred six thousand, six hundred seventeen".