7009 has 4 divisors (see below), whose sum is σ = 7216. Its totient is φ = 6804.

The previous prime is 7001. The next prime is 7013. The reversal of 7009 is 9007.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 7009 - 2³ = 7001 is a prime.

It is a Duffinian number.

7009 is a modest number, since divided by 9 gives 7 as remainder.

7009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 6983 and 7001.

It is not an unprimeable number, because it can be changed into a prime (7001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 124.

It is an arithmetic number, because the mean of its divisors is an integer number (1804).

2⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

7009 is a deficient number, since it is larger than the sum of its proper divisors (207).

7009 is a wasteful number, since it uses less digits than its factorization.

7009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206.

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 7009 is about 83.7197706638. The cubic root of 7009 is about 19.1375065932.

The spelling of 7009 in words is "seven thousand, nine".