3996993 has 40 divisors (see below), whose sum is σ = 7215040. Its totient is φ = 1916640.

The previous prime is 3996977. The next prime is 3997001.

3996993 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3996993 - 2⁴ = 3996977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3996193) 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 39 ways as a sum of consecutive naturals, for example, 307455 + ... + 307467.

It is an arithmetic number, because the mean of its divisors is an integer number (180376).

Almost surely, 2^3996993 is an apocalyptic number.

3996993 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3996993 is a deficient number, since it is larger than the sum of its proper divisors (3218047).

3996993 is an equidigital number, since it uses as much as digits as its factorization.

3996993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its digits is 354294, while the sum is 48.

The square root of 3996993 is about 1999.2481086649. The cubic root of 3996993 is about 158.7003176004.

The spelling of 3996993 in words is "three million, nine hundred ninety-six thousand, nine hundred ninety-three".