3967271 has 16 divisors (see below), whose sum is σ = 5026560. Its totient is φ = 3041280.

The previous prime is 3967259. The next prime is 3967277. The reversal of 3967271 is 1727693.

3967271 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3967271 - 2⁶ = 3967207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4775 + ... + 5543.

It is an arithmetic number, because the mean of its divisors is an integer number (314160).

Almost surely, 2^3967271 is an apocalyptic number.

3967271 is a deficient number, since it is larger than the sum of its proper divisors (1059289).

3967271 is a wasteful number, since it uses less digits than its factorization.

3967271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854.

The product of its digits is 15876, while the sum is 35.

The square root of 3967271 is about 1991.8009438696. The cubic root of 3967271 is about 158.3059685549.

It can be divided in two parts, 396 and 7271, that added together give a palindrome (7667).

The spelling of 3967271 in words is "three million, nine hundred sixty-seven thousand, two hundred seventy-one".