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6007 is a prime number
BaseRepresentation
bin1011101110111
322020111
41131313
5143012
643451
723341
oct13567
98214
106007
114571
123587
132971
142291
151ba7
hex1777

6007 has 2 divisors, whose sum is σ = 6008. Its totient is φ = 6006.

The previous prime is 5987. The next prime is 6011. The reversal of 6007 is 7006.

Subtracting 6007 from its reverse (7006), we obtain a palindrome (999).

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 6007 - 27 = 5879 is a prime.

It is a Chen prime.

It is a magnanimous number.

It is the 78-th Hogben number.

It is a plaindrome in base 8 and base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6037) by changing a digit.

It is a nontrivial repunit in base 77.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3003 + 3004.

It is an arithmetic number, because the mean of its divisors is an integer number (3004).

6007 is a deficient number, since it is larger than the sum of its proper divisors (1).

6007 is an equidigital number, since it uses as much as digits as its factorization.

6007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 6007 is about 77.5048385586. The cubic root of 6007 is about 18.1782697621.

The spelling of 6007 in words is "six thousand, seven".