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10066337 is a prime number
BaseRepresentation
bin100110011001…
…100110100001
3200221102102022
4212121212201
510034110322
6555431225
7151363631
oct46314641
920842368
1010066337
115755a96
123455515
132115b18
1414a06c1
15d3c942
hex9999a1

10066337 has 2 divisors, whose sum is σ = 10066338. Its totient is φ = 10066336.

The previous prime is 10066321. The next prime is 10066373. The reversal of 10066337 is 73366001.

Together with next prime (10066373) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6677056 + 3389281 = 2584^2 + 1841^2 .

It is a cyclic number.

It is not a de Polignac number, because 10066337 - 24 = 10066321 is a prime.

It is a super-2 number, since 2×100663372 = 202662281195138, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10066307) 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, 5033168 + 5033169.

It is an arithmetic number, because the mean of its divisors is an integer number (5033169).

Almost surely, 210066337 is an apocalyptic number.

It is an amenable number.

10066337 is a deficient number, since it is larger than the sum of its proper divisors (1).

10066337 is an equidigital number, since it uses as much as digits as its factorization.

10066337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 10066337 is about 3172.7491233944. The cubic root of 10066337 is about 215.9188152263.

The spelling of 10066337 in words is "ten million, sixty-six thousand, three hundred thirty-seven".