3967971 has 12 divisors (see below), whose sum is σ = 6154632. Its totient is φ = 2267328.

The previous prime is 3967963. The next prime is 3967973. The reversal of 3967971 is 1797693.

It is not a de Polignac number, because 3967971 - 2³ = 3967963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3967973) 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 11 ways as a sum of consecutive naturals, for example, 13350 + ... + 13643.

It is an arithmetic number, because the mean of its divisors is an integer number (512886).

Almost surely, 2^3967971 is an apocalyptic number.

3967971 is a deficient number, since it is larger than the sum of its proper divisors (2186661).

3967971 is a wasteful number, since it uses less digits than its factorization.

3967971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27010 (or 27003 counting only the distinct ones).

The product of its digits is 71442, while the sum is 42.

The square root of 3967971 is about 1991.9766564897. The cubic root of 3967971 is about 158.3152787046.

The spelling of 3967971 in words is "three million, nine hundred sixty-seven thousand, nine hundred seventy-one".