3971125 has 8 divisors (see below), whose sum is σ = 4956120. Its totient is φ = 3176800.

The previous prime is 3971119. The next prime is 3971129. The reversal of 3971125 is 5211793.

3971125 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 4 ways, for example, as 432964 + 3538161 = 658^2 + 1881^2 .

It is not a de Polignac number, because 3971125 - 2³ = 3971117 is a prime.

It is a super-3 number, since 3×3971125³ (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3971093 and 3971102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971129) 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 7 ways as a sum of consecutive naturals, for example, 15760 + ... + 16009.

It is an arithmetic number, because the mean of its divisors is an integer number (619515).

Almost surely, 2^3971125 is an apocalyptic number.

It is an amenable number.

3971125 is a deficient number, since it is larger than the sum of its proper divisors (984995).

3971125 is an equidigital number, since it uses as much as digits as its factorization.

3971125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31784 (or 31774 counting only the distinct ones).

The product of its digits is 1890, while the sum is 28.

The square root of 3971125 is about 1992.7681751774. The cubic root of 3971125 is about 158.3572140034.

It can be divided in two parts, 3971 and 125, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3971125 in words is "three million, nine hundred seventy-one thousand, one hundred twenty-five".