3972067 has 12 divisors (see below), whose sum is σ = 4625208. Its totient is φ = 3396800.

The previous prime is 3972037. The next prime is 3972071. The reversal of 3972067 is 7602793.

It is a de Polignac number, because none of the positive numbers 2^k-3972067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3972037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1092 + ... + 3022.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 2^3972067 is an apocalyptic number.

3972067 is a deficient number, since it is larger than the sum of its proper divisors (653141).

3972067 is a wasteful number, since it uses less digits than its factorization.

3972067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 3972067 is about 1993.0045158002. The cubic root of 3972067 is about 158.3697344439.

The spelling of 3972067 in words is "three million, nine hundred seventy-two thousand, sixty-seven".