1006887617 has 2 divisors, whose sum is σ = 1006887618. Its totient is φ = 1006887616.

The previous prime is 1006887571. The next prime is 1006887619. The reversal of 1006887617 is 7167886001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 653109136 + 353778481 = 25556^2 + 18809^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006887617 is a prime.

Together with 1006887619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1006887619) 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, 503443808 + 503443809.

It is an arithmetic number, because the mean of its divisors is an integer number (503443809).

Almost surely, 2^1006887617 is an apocalyptic number.

It is an amenable number.

1006887617 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006887617 is an equidigital number, since it uses as much as digits as its factorization.

1006887617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 1006887617 is about 31731.4925113837. The cubic root of 1006887617 is about 1002.2906213808.

The spelling of 1006887617 in words is "one billion, six million, eight hundred eighty-seven thousand, six hundred seventeen".