Search a number
-
+
816716609 is a prime number
BaseRepresentation
bin110000101011100…
…001101101000001
32002220210111120022
4300223201231001
53133034412414
6213013023225
726144655662
oct6053415501
92086714508
10816716609
1138a019305
121a9624b15
13100286987
147a67b369
154ba7a18e
hex30ae1b41

816716609 has 2 divisors, whose sum is σ = 816716610. Its totient is φ = 816716608.

The previous prime is 816716471. The next prime is 816716629. The reversal of 816716609 is 906617618.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 771450625 + 45265984 = 27775^2 + 6728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-816716609 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 816716609.

It is not a weakly prime, because it can be changed into another prime (816716629) 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, 408358304 + 408358305.

It is an arithmetic number, because the mean of its divisors is an integer number (408358305).

Almost surely, 2816716609 is an apocalyptic number.

It is an amenable number.

816716609 is a deficient number, since it is larger than the sum of its proper divisors (1).

816716609 is an equidigital number, since it uses as much as digits as its factorization.

816716609 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 44.

The square root of 816716609 is about 28578.2541279204. The cubic root of 816716609 is about 934.7392140664.

The spelling of 816716609 in words is "eight hundred sixteen million, seven hundred sixteen thousand, six hundred nine".