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12783137 is a prime number
BaseRepresentation
bin110000110000…
…111000100001
3220001110011112
4300300320201
511233030022
61133553105
7213440423
oct60607041
926043145
1012783137
117241184
124345795
1328575b3
1419aa813
1511c78e2
hexc30e21

12783137 has 2 divisors, whose sum is σ = 12783138. Its totient is φ = 12783136.

The previous prime is 12783119. The next prime is 12783139. The reversal of 12783137 is 73138721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12503296 + 279841 = 3536^2 + 529^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12783137 is a prime.

Together with 12783139, 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 (12783139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6391568 + 6391569.

It is an arithmetic number, because the mean of its divisors is an integer number (6391569).

Almost surely, 212783137 is an apocalyptic number.

It is an amenable number.

12783137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12783137 is an equidigital number, since it uses as much as digits as its factorization.

12783137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 12783137 is about 3575.3513114098. The cubic root of 12783137 is about 233.8186495154.

The spelling of 12783137 in words is "twelve million, seven hundred eighty-three thousand, one hundred thirty-seven".