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10086617 is a prime number
BaseRepresentation
bin100110011110…
…100011011001
3200222110020102
4212132203121
510040232432
61000105145
7151510022
oct46364331
920873212
1010086617
11576a252
1234651b5
132122118
1414a7c49
15d43962
hex99e8d9

10086617 has 2 divisors, whose sum is σ = 10086618. Its totient is φ = 10086616.

The previous prime is 10086599. The next prime is 10086619. The reversal of 10086617 is 71668001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8620096 + 1466521 = 2936^2 + 1211^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10086617 is a prime.

Together with 10086619, 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 10086617.

It is not a weakly prime, because it can be changed into another prime (10086619) 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, 5043308 + 5043309.

It is an arithmetic number, because the mean of its divisors is an integer number (5043309).

Almost surely, 210086617 is an apocalyptic number.

It is an amenable number.

10086617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086617 is an equidigital number, since it uses as much as digits as its factorization.

10086617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10086617 is about 3175.9434818649. The cubic root of 10086617 is about 216.0637171992.

The spelling of 10086617 in words is "ten million, eighty-six thousand, six hundred seventeen".