Search a number
-
+
3006791 is a prime number
BaseRepresentation
bin1011011110000101000111
312122202112122
423132011013
51232204131
6144240155
734362104
oct13360507
95582478
103006791
111774057
12101005b
13813788
14583aab
153e5d7b
hex2de147

3006791 has 2 divisors, whose sum is σ = 3006792. Its totient is φ = 3006790.

The previous prime is 3006781. The next prime is 3006793. The reversal of 3006791 is 1976003.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3006791 is a prime.

It is a Sophie Germain prime.

Together with 3006793, it forms a pair of twin primes.

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 3006791.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3006793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503395 + 1503396.

It is an arithmetic number, because the mean of its divisors is an integer number (1503396).

Almost surely, 23006791 is an apocalyptic number.

3006791 is a deficient number, since it is larger than the sum of its proper divisors (1).

3006791 is an equidigital number, since it uses as much as digits as its factorization.

3006791 is an evil number, because the sum of its binary digits is even.

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

The square root of 3006791 is about 1734.0100922428. The cubic root of 3006791 is about 144.3337007614. Note that the first 3 decimals are identical.

The spelling of 3006791 in words is "three million, six thousand, seven hundred ninety-one".