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13985137 is a prime number
BaseRepresentation
bin110101010110…
…010101110001
3222022112000001
4311112111301
512040011022
61215430001
7226604665
oct65262561
928275001
1013985137
117992271
124825301
132b8873a
141c008a5
151363b27
hexd56571

13985137 has 2 divisors, whose sum is σ = 13985138. Its totient is φ = 13985136.

The previous prime is 13985131. The next prime is 13985143. The reversal of 13985137 is 73158931.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (13985131) and next prime (13985143).

It can be written as a sum of positive squares in only one way, i.e., 12138256 + 1846881 = 3484^2 + 1359^2 .

It is a cyclic number.

It is not a de Polignac number, because 13985137 - 27 = 13985009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13985096 and 13985105.

It is not a weakly prime, because it can be changed into another prime (13985131) 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, 6992568 + 6992569.

It is an arithmetic number, because the mean of its divisors is an integer number (6992569).

Almost surely, 213985137 is an apocalyptic number.

It is an amenable number.

13985137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13985137 is an equidigital number, since it uses as much as digits as its factorization.

13985137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 37.

The square root of 13985137 is about 3739.6707074287. The cubic root of 13985137 is about 240.9289058731.

The spelling of 13985137 in words is "thirteen million, nine hundred eighty-five thousand, one hundred thirty-seven".