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66587009 is a prime number
BaseRepresentation
bin1111111000000…
…0100110000001
311122021222012112
43332000212001
5114021241014
610335105105
71435660136
oct376004601
9148258175
1066587009
113464a895
121a372195
1310a451c8
148bb458d
155ca473e
hex3f80981

66587009 has 2 divisors, whose sum is σ = 66587010. Its totient is φ = 66587008.

The previous prime is 66586991. The next prime is 66587021. The reversal of 66587009 is 90078566.

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., 66471409 + 115600 = 8153^2 + 340^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66587009 is a prime.

It is a Chen prime.

It is equal to p3928838 and since 66587009 and 3928838 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (66587089) 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, 33293504 + 33293505.

It is an arithmetic number, because the mean of its divisors is an integer number (33293505).

Almost surely, 266587009 is an apocalyptic number.

It is an amenable number.

66587009 is a deficient number, since it is larger than the sum of its proper divisors (1).

66587009 is an equidigital number, since it uses as much as digits as its factorization.

66587009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 66587009 is about 8160.0863353276. The cubic root of 66587009 is about 405.3185706663.

The spelling of 66587009 in words is "sixty-six million, five hundred eighty-seven thousand, nine".