3957541 has 16 divisors (see below), whose sum is σ = 4829184. Its totient is φ = 3169584.

The previous prime is 3957521. The next prime is 3957571. The reversal of 3957541 is 1457593.

3957541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3957541 - 2⁵ = 3957509 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3957497 and 3957506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957521) 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, 7306 + ... + 7828.

It is an arithmetic number, because the mean of its divisors is an integer number (301824).

Almost surely, 2^3957541 is an apocalyptic number.

It is an amenable number.

3957541 is a deficient number, since it is larger than the sum of its proper divisors (871643).

3957541 is a wasteful number, since it uses less digits than its factorization.

3957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600.

The product of its digits is 18900, while the sum is 34.

The square root of 3957541 is about 1989.3569312720. The cubic root of 3957541 is about 158.1764439155.

The spelling of 3957541 in words is "three million, nine hundred fifty-seven thousand, five hundred forty-one".