3971 has 6 divisors (see below), whose sum is σ = 4572. Its totient is φ = 3420.

The previous prime is 3967. The next prime is 3989. The reversal of 3971 is 1793.

It is not a de Polignac number, because 3971 - 2² = 3967 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12 and base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3971.

It is not an unprimeable number, because it can be changed into a prime (3911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200 + ... + 218.

It is an arithmetic number, because the mean of its divisors is an integer number (762).

2³⁹⁷¹ is an apocalyptic number.

3971 is a deficient number, since it is larger than the sum of its proper divisors (601).

3971 is a wasteful number, since it uses less digits than its factorization.

3971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 30 counting only the distinct ones).

The product of its digits is 189, while the sum is 20.

The square root of 3971 is about 63.0158710168. The cubic root of 3971 is about 15.8355552437.

The spelling of 3971 in words is "three thousand, nine hundred seventy-one".