3967947 has 14 divisors (see below), whose sum is σ = 5950292. Its totient is φ = 2644812.

The previous prime is 3967913. The next prime is 3967961. The reversal of 3967947 is 7497693.

It is not a de Polignac number, because 3967947 - 2⁷ = 3967819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3967147) 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 13 ways as a sum of consecutive naturals, for example, 1993 + ... + 3450.

Almost surely, 2^3967947 is an apocalyptic number.

3967947 is a deficient number, since it is larger than the sum of its proper divisors (1982345).

3967947 is an frugal number, since it uses more digits than its factorization.

3967947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5446 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 3967947 is about 1991.9706323136. The cubic root of 3967947 is about 158.3149595176.

The spelling of 3967947 in words is "three million, nine hundred sixty-seven thousand, nine hundred forty-seven".