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10006097 is a prime number
BaseRepresentation
bin100110001010…
…111001010001
3200211100210012
4212022321101
510030143342
6554244305
7151023203
oct46127121
920740705
1010006097
115714802
123426695
1320c458a
141486773
15d29b82
hex98ae51

10006097 has 2 divisors, whose sum is σ = 10006098. Its totient is φ = 10006096.

The previous prime is 10006067. The next prime is 10006109. The reversal of 10006097 is 79060001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9024016 + 982081 = 3004^2 + 991^2 .

It is an emirp because it is prime and its reverse (79060001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10006097 - 214 = 9989713 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10006067) 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, 5003048 + 5003049.

It is an arithmetic number, because the mean of its divisors is an integer number (5003049).

Almost surely, 210006097 is an apocalyptic number.

It is an amenable number.

10006097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10006097 is an equidigital number, since it uses as much as digits as its factorization.

10006097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 10006097 is about 3163.2415336171. The cubic root of 10006097 is about 215.4872454019.

Adding to 10006097 its reverse (79060001), we get a palindrome (89066098).

The spelling of 10006097 in words is "ten million, six thousand, ninety-seven".