3957937 has 2 divisors, whose sum is σ = 3957938. Its totient is φ = 3957936.

The previous prime is 3957929. The next prime is 3957953. The reversal of 3957937 is 7397593.

3957937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3904576 + 53361 = 1976^2 + 231^2 .

It is a cyclic number.

It is not a de Polignac number, because 3957937 - 2³ = 3957929 is a prime.

It is a d-powerful number, because it can be written as 3¹² + 9 + 5⁹ + 7⁶ + 9³ + 3¹² + 7⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 3957893 and 3957902.

It is not a weakly prime, because it can be changed into another prime (3957907) 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 as a sum of consecutive naturals, namely, 1978968 + 1978969.

It is an arithmetic number, because the mean of its divisors is an integer number (1978969).

Almost surely, 2^3957937 is an apocalyptic number.

It is an amenable number.

3957937 is a deficient number, since it is larger than the sum of its proper divisors (1).

3957937 is an equidigital number, since it uses as much as digits as its factorization.

3957937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 178605, while the sum is 43.

The square root of 3957937 is about 1989.4564584328. The cubic root of 3957937 is about 158.1817195638.

The spelling of 3957937 in words is "three million, nine hundred fifty-seven thousand, nine hundred thirty-seven".