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13067137 is a prime number
BaseRepresentation
bin110001110110…
…001110000001
3220120212202001
4301312032001
511321122022
61144024001
7216032416
oct61661601
926525661
1013067137
117415596
124462001
132926945
141a4210d
151231b27
hexc76381

13067137 has 2 divisors, whose sum is σ = 13067138. Its totient is φ = 13067136.

The previous prime is 13067129. The next prime is 13067147. The reversal of 13067137 is 73176031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10214416 + 2852721 = 3196^2 + 1689^2 .

It is an emirp because it is prime and its reverse (73176031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13067137 - 23 = 13067129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13067147) 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, 6533568 + 6533569.

It is an arithmetic number, because the mean of its divisors is an integer number (6533569).

Almost surely, 213067137 is an apocalyptic number.

It is an amenable number.

13067137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13067137 is an equidigital number, since it uses as much as digits as its factorization.

13067137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 13067137 is about 3614.8495127737. The cubic root of 13067137 is about 235.5375471858.

The spelling of 13067137 in words is "thirteen million, sixty-seven thousand, one hundred thirty-seven".