3957075 has 36 divisors (see below), whose sum is σ = 7270120. Its totient is φ = 2056320.

The previous prime is 3957059. The next prime is 3957077. The reversal of 3957075 is 5707593.

3957075 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 3957075 - 2⁴ = 3957059 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

3957075 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3957077) 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 35 ways as a sum of consecutive naturals, for example, 9471 + ... + 9879.

Almost surely, 2^3957075 is an apocalyptic number.

3957075 is a deficient number, since it is larger than the sum of its proper divisors (3313045).

3957075 is a wasteful number, since it uses less digits than its factorization.

3957075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 3957075 is about 1989.2398045485. The cubic root of 3957075 is about 158.1702352525.

The spelling of 3957075 in words is "three million, nine hundred fifty-seven thousand, seventy-five".