Search a number
-
+
6005 = 51201
BaseRepresentation
bin1011101110101
322020102
41131311
5143010
643445
723336
oct13565
98212
106005
11456a
123585
13296c
14228d
151ba5
hex1775

6005 has 4 divisors (see below), whose sum is σ = 7212. Its totient is φ = 4800.

The previous prime is 5987. The next prime is 6007. The reversal of 6005 is 5006.

6005 is nontrivially palindromic in base 4.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5006 = 22503.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 5329 = 26^2 + 73^2 .

It is not a de Polignac number, because 6005 - 28 = 5749 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 7, 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, 596 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (1803).

26005 is an apocalyptic number.

It is an amenable number.

6005 is a deficient number, since it is larger than the sum of its proper divisors (1207).

6005 is a wasteful number, since it uses less digits than its factorization.

6005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 6005 is about 77.4919350642. The cubic root of 6005 is about 18.1762520841.

Adding to 6005 its reverse (5006), we get a palindrome (11011).

Subtracting from 6005 its reverse (5006), we obtain a palindrome (999).

The spelling of 6005 in words is "six thousand, five".

Divisors: 1 5 1201 6005