1006873349 has 2 divisors, whose sum is σ = 1006873350. Its totient is φ = 1006873348.

The previous prime is 1006873313. The next prime is 1006873363. The reversal of 1006873349 is 9433786001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 818360449 + 188512900 = 28607^2 + 13730^2 .

It is an emirp because it is prime and its reverse (9433786001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1006873349 - 2²⁰ = 1005824773 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1006803349) 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, 503436674 + 503436675.

It is an arithmetic number, because the mean of its divisors is an integer number (503436675).

Almost surely, 2^1006873349 is an apocalyptic number.

It is an amenable number.

1006873349 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006873349 is an equidigital number, since it uses as much as digits as its factorization.

1006873349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 1006873349 is about 31731.2676866210. The cubic root of 1006873349 is about 1002.2858870722.

The spelling of 1006873349 in words is "one billion, six million, eight hundred seventy-three thousand, three hundred forty-nine".