3972417 has 8 divisors (see below), whose sum is σ = 5320224. Its totient is φ = 2636448.

The previous prime is 3972413. The next prime is 3972427. The reversal of 3972417 is 7142793.

3972417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3972417 - 2² = 3972413 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (3972413) 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 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 2^3972417 is an apocalyptic number.

It is an amenable number.

3972417 is a deficient number, since it is larger than the sum of its proper divisors (1347807).

3972417 is a wasteful number, since it uses less digits than its factorization.

3972417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919.

The product of its digits is 10584, while the sum is 33.

The square root of 3972417 is about 1993.0923209927. The cubic root of 3972417 is about 158.3743859078.

The spelling of 3972417 in words is "three million, nine hundred seventy-two thousand, four hundred seventeen".