3006993 has 8 divisors (see below), whose sum is σ = 4373856. Its totient is φ = 1822400.

The previous prime is 3006989. The next prime is 3007001. The reversal of 3006993 is 3996003.

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 3006993 - 2² = 3006989 is a prime.

3006993 is a modest number, since divided by 6993 gives 3 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 3006993.

It is not an unprimeable number, because it can be changed into a prime (3006973) 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, 45528 + ... + 45593.

It is an arithmetic number, because the mean of its divisors is an integer number (546732).

Almost surely, 2^3006993 is an apocalyptic number.

3006993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3006993 is a deficient number, since it is larger than the sum of its proper divisors (1366863).

3006993 is a wasteful number, since it uses less digits than its factorization.

3006993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91135.

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 3006993 is about 1734.0683377537. The cubic root of 3006993 is about 144.3369328621.

The spelling of 3006993 in words is "three million, six thousand, nine hundred ninety-three".