12005 has 10 divisors (see below), whose sum is σ = 16806. Its totient is φ = 8232.

The previous prime is 11987. The next prime is 12007. The reversal of 12005 is 50021.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 2401 = 98^2 + 49^2 .

It is not a de Polignac number, because 12005 - 2⁶ = 11941 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 11983 and 12001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1712 + ... + 1718.

2¹²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

12005 is a deficient number, since it is larger than the sum of its proper divisors (4801).

12005 is an frugal number, since it uses more digits than its factorization.

12005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 12005 is about 109.5673308975. The cubic root of 12005 is about 22.8974641713.

Adding to 12005 its reverse (50021), we get a palindrome (62026).

The spelling of 12005 in words is "twelve thousand, five".