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10086217 is a prime number
BaseRepresentation
bin100110011110…
…011101001001
3200222102200121
4212132131021
510040224332
61000103241
7151505611
oct46363511
920872617
1010086217
115769a19
123464b21
132121b9b
1414a7a41
15d43797
hex99e749

10086217 has 2 divisors, whose sum is σ = 10086218. Its totient is φ = 10086216.

The previous prime is 10086211. The next prime is 10086221. The reversal of 10086217 is 71268001.

10086217 is nontrivially palindromic in base 14.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10055241 + 30976 = 3171^2 + 176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10086217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10086191 and 10086200.

It is not a weakly prime, because it can be changed into another prime (10086211) 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, 5043108 + 5043109.

It is an arithmetic number, because the mean of its divisors is an integer number (5043109).

Almost surely, 210086217 is an apocalyptic number.

It is an amenable number.

10086217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10086217 is an equidigital number, since it uses as much as digits as its factorization.

10086217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 10086217 is about 3175.8805078277. The cubic root of 10086217 is about 216.0608610507.

It can be divided in two parts, 1008 and 6217, that added together give a square (7225 = 852).

The spelling of 10086217 in words is "ten million, eighty-six thousand, two hundred seventeen".