3972167 has 2 divisors, whose sum is σ = 3972168. Its totient is φ = 3972166.

The previous prime is 3972151. The next prime is 3972173. The reversal of 3972167 is 7612793.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3972167 - 2⁴ = 3972151 is a prime.

It is a super-2 number, since 2×3972167² = 31556221351778, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3972107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1986083 + 1986084.

It is an arithmetic number, because the mean of its divisors is an integer number (1986084).

Almost surely, 2^3972167 is an apocalyptic number.

3972167 is a deficient number, since it is larger than the sum of its proper divisors (1).

3972167 is an equidigital number, since it uses as much as digits as its factorization.

3972167 is an evil number, because the sum of its binary digits is even.

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

The square root of 3972167 is about 1993.0296033928. The cubic root of 3972167 is about 158.3710634614.

The spelling of 3972167 in words is "three million, nine hundred seventy-two thousand, one hundred sixty-seven".