3006997 has 16 divisors (see below), whose sum is σ = 3778560. Its totient is φ = 2333232.

The previous prime is 3006989. The next prime is 3007001. The reversal of 3006997 is 7996003.

3006997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3006997 - 2³ = 3006989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2568 + ... + 3550.

It is an arithmetic number, because the mean of its divisors is an integer number (236160).

Almost surely, 2^3006997 is an apocalyptic number.

It is an amenable number.

3006997 is a deficient number, since it is larger than the sum of its proper divisors (771563).

3006997 is a wasteful number, since it uses less digits than its factorization.

3006997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 3006997 is about 1734.0694911104. The cubic root of 3006997 is about 144.3369968627.

The spelling of 3006997 in words is "three million, six thousand, nine hundred ninety-seven".