3009 has 8 divisors (see below), whose sum is σ = 4320. Its totient is φ = 1856.

The previous prime is 3001. The next prime is 3011. The reversal of 3009 is 9003.

3009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3009 - 2³ = 3001 is a prime.

3009 is a modest number, since divided by 9 gives 3 as remainder.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 2985 and 3003.

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 7 ways as a sum of consecutive naturals, for example, 22 + ... + 80.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

It is a Proth number, since it is equal to 47 ⋅ 2⁶ + 1 and 47 < 2⁶.

2³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

3009 is a deficient number, since it is larger than the sum of its proper divisors (1311).

3009 is a wasteful number, since it uses less digits than its factorization.

3009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3009 is about 54.8543526076. The cubic root of 3009 is about 14.4369038003.

The spelling of 3009 in words is "three thousand, nine".