3967125 has 32 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 2072000.

The previous prime is 3967123. The next prime is 3967127. The reversal of 3967125 is 5217693.

It is an interprime number because it is at equal distance from previous prime (3967123) and next prime (3967127).

It is not a de Polignac number, because 3967125 - 2¹ = 3967123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26551 + ... + 26699.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^3967125 is an apocalyptic number.

3967125 is the 1065-th nonagonal number.

It is an amenable number.

3967125 is a deficient number, since it is larger than the sum of its proper divisors (2772075).

3967125 is a wasteful number, since it uses less digits than its factorization.

3967125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 3967125 is about 1991.7642932837. The cubic root of 3967125 is about 158.3040265856.

It can be divided in two parts, 396 and 7125, that multiplied together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 3967125 in words is "three million, nine hundred sixty-seven thousand, one hundred twenty-five".