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6001 = 17353
BaseRepresentation
bin1011101110001
322020021
41131301
5143001
643441
723332
oct13561
98207
106001
114566
123581
132968
142289
151ba1
hex1771

6001 has 4 divisors (see below), whose sum is σ = 6372. Its totient is φ = 5632.

The previous prime is 5987. The next prime is 6007. The reversal of 6001 is 1006.

Adding to 6001 its reverse (1006), we get a palindrome (7007).

6001 is nontrivially palindromic in base 7 and base 16.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 1006 = 2503.

It can be written as a sum of positive squares in 2 ways, for example, as 3600 + 2401 = 60^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6001 is a prime.

It is a magnanimous number.

It is a Duffinian number.

It is a plaindrome in base 11 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 160 + ... + 193.

It is an arithmetic number, because the mean of its divisors is an integer number (1593).

It is an amenable number.

6001 is a deficient number, since it is larger than the sum of its proper divisors (371).

6001 is a wasteful number, since it uses less digits than its factorization.

6001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 6001 is about 77.4661216275. The cubic root of 6001 is about 18.1722153837.

The spelling of 6001 in words is "six thousand, one".

Divisors: 1 17 353 6001