3005709 has 32 divisors (see below), whose sum is σ = 4915200. Its totient is φ = 1629936.

The previous prime is 3005701. The next prime is 3005711. The reversal of 3005709 is 9075003.

It is not a de Polignac number, because 3005709 - 2³ = 3005701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23604 + ... + 23730.

It is an arithmetic number, because the mean of its divisors is an integer number (153600).

Almost surely, 2^3005709 is an apocalyptic number.

It is an amenable number.

3005709 is a deficient number, since it is larger than the sum of its proper divisors (1909491).

3005709 is a wasteful number, since it uses less digits than its factorization.

3005709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 3005709 is about 1733.6980705994. The cubic root of 3005709 is about 144.3163857567.

The spelling of 3005709 in words is "three million, five thousand, seven hundred nine".