3957813 has 12 divisors (see below), whose sum is σ = 5755308. Its totient is φ = 2620800.

The previous prime is 3957799. The next prime is 3957829. The reversal of 3957813 is 3187593.

3957813 is nontrivially palindromic in base 11.

3957813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1580049 + 2377764 = 1257^2 + 1542^2 .

It is not a de Polignac number, because 3957813 - 2⁵ = 3957781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957883) 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 11 ways as a sum of consecutive naturals, for example, 13 + ... + 2813.

It is an arithmetic number, because the mean of its divisors is an integer number (479609).

Almost surely, 2^3957813 is an apocalyptic number.

It is an amenable number.

3957813 is a deficient number, since it is larger than the sum of its proper divisors (1797495).

3957813 is a wasteful number, since it uses less digits than its factorization.

3957813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2961 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 3957813 is about 1989.4252938977. The cubic root of 3957813 is about 158.1800676310.

The spelling of 3957813 in words is "three million, nine hundred fifty-seven thousand, eight hundred thirteen".