Search a number
-
+
12804761 is a prime number
BaseRepresentation
bin110000110110…
…001010011001
3220002112211102
4300312022121
511234223021
61134241145
7213560444
oct60661231
926075742
1012804761
117256452
1243561b5
1328643a8
1419b465b
1511ce00b
hexc36299

12804761 has 2 divisors, whose sum is σ = 12804762. Its totient is φ = 12804760.

The previous prime is 12804749. The next prime is 12804769. The reversal of 12804761 is 16740821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8880400 + 3924361 = 2980^2 + 1981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12804761 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12804769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6402380 + 6402381.

It is an arithmetic number, because the mean of its divisors is an integer number (6402381).

Almost surely, 212804761 is an apocalyptic number.

It is an amenable number.

12804761 is a deficient number, since it is larger than the sum of its proper divisors (1).

12804761 is an equidigital number, since it uses as much as digits as its factorization.

12804761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 12804761 is about 3578.3740721171. The cubic root of 12804761 is about 233.9504180628.

The spelling of 12804761 in words is "twelve million, eight hundred four thousand, seven hundred sixty-one".