3957125 has 8 divisors (see below), whose sum is σ = 4938648. Its totient is φ = 3165600.

The previous prime is 3957103. The next prime is 3957133. The reversal of 3957125 is 5217593.

It can be written as a sum of positive squares in 4 ways, for example, as 185761 + 3771364 = 431^2 + 1942^2 .

It is not a de Polignac number, because 3957125 - 2¹⁰ = 3956101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3957091 and 3957100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15704 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (617331).

Almost surely, 2^3957125 is an apocalyptic number.

It is an amenable number.

3957125 is a deficient number, since it is larger than the sum of its proper divisors (981523).

3957125 is an equidigital number, since it uses as much as digits as its factorization.

3957125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31672 (or 31662 counting only the distinct ones).

The product of its digits is 9450, while the sum is 32.

The square root of 3957125 is about 1989.2523721238. The cubic root of 3957125 is about 158.1709014414.

The spelling of 3957125 in words is "three million, nine hundred fifty-seven thousand, one hundred twenty-five".