3813993 has 16 divisors (see below), whose sum is σ = 5846400. Its totient is φ = 2454480.

The previous prime is 3813983. The next prime is 3814009. The reversal of 3813993 is 3993183.

Added to its reverse (3993183) it gives a triangular number (7807176 = T₃₉₅₁).

3813993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-3813993 is a prime.

3813993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3813913) 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, 1653 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (365400).

Almost surely, 2^3813993 is an apocalyptic number.

It is an amenable number.

3813993 is a deficient number, since it is larger than the sum of its proper divisors (2032407).

3813993 is a wasteful number, since it uses less digits than its factorization.

3813993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4903 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3813993 is about 1952.9446996779. The cubic root of 3813993 is about 156.2403838349.

Adding to 3813993 its reverse (3993183), we get a triangular number (7807176 = T₃₉₅₁).

The spelling of 3813993 in words is "three million, eight hundred thirteen thousand, nine hundred ninety-three".