3967407 has 8 divisors (see below), whose sum is σ = 5877680. Its totient is φ = 2644920.

The previous prime is 3967373. The next prime is 3967417. The reversal of 3967407 is 7047693.

It is not a de Polignac number, because 3967407 - 2⁶ = 3967343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967417) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73444 + ... + 73497.

It is an arithmetic number, because the mean of its divisors is an integer number (734710).

Almost surely, 2^3967407 is an apocalyptic number.

3967407 is a deficient number, since it is larger than the sum of its proper divisors (1910273).

3967407 is a wasteful number, since it uses less digits than its factorization.

3967407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146950 (or 146944 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 3967407 is about 1991.8350835348. The cubic root of 3967407 is about 158.3077774697.

The spelling of 3967407 in words is "three million, nine hundred sixty-seven thousand, four hundred seven".