3005 has 4 divisors (see below), whose sum is σ = 3612. Its totient is φ = 2400.

The previous prime is 3001. The next prime is 3011. The reversal of 3005 is 5003.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1849 + 1156 = 43^2 + 34^2 .

It is not a de Polignac number, because 3005 - 2² = 3001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2983 and 3001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001) 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, 296 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (903).

It is an amenable number.

3005 is a deficient number, since it is larger than the sum of its proper divisors (607).

3005 is an equidigital number, since it uses as much as digits as its factorization.

3005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606.

The product of its (nonzero) digits is 15, while the sum is 8.

The square root of 3005 is about 54.8178802947. The cubic root of 3005 is about 14.4305037534.

Adding to 3005 its reverse (5003), we get a palindrome (8008).

The spelling of 3005 in words is "three thousand, five".