3967925 has 24 divisors (see below), whose sum is σ = 5494440. Its totient is φ = 2822400.

The previous prime is 3967913. The next prime is 3967961. The reversal of 3967925 is 5297693.

It can be written as a sum of positive squares in 12 ways, for example, as 3073009 + 894916 = 1753^2 + 946^2 .

It is not a de Polignac number, because 3967925 - 2⁸ = 3967669 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9215 + ... + 9635.

It is an arithmetic number, because the mean of its divisors is an integer number (228935).

Almost surely, 2^3967925 is an apocalyptic number.

It is an amenable number.

3967925 is a deficient number, since it is larger than the sum of its proper divisors (1526515).

3967925 is a wasteful number, since it uses less digits than its factorization.

3967925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 468 counting only the distinct ones).

The product of its digits is 102060, while the sum is 41.

The square root of 3967925 is about 1991.9651101362. The cubic root of 3967925 is about 158.3146669284.

The spelling of 3967925 in words is "three million, nine hundred sixty-seven thousand, nine hundred twenty-five".