3966417 has 48 divisors (see below), whose sum is σ = 7338240. Its totient is φ = 2007936.

The previous prime is 3966409. The next prime is 3966433. The reversal of 3966417 is 7146693.

3966417 is a `hidden beast` number, since 3 + 9 + 6 + 641 + 7 = 666.

3966417 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 3966417 - 2³ = 3966409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3966407) 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 47 ways as a sum of consecutive naturals, for example, 23668 + ... + 23834.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 2^3966417 is an apocalyptic number.

It is an amenable number.

3966417 is a deficient number, since it is larger than the sum of its proper divisors (3371823).

3966417 is a wasteful number, since it uses less digits than its factorization.

3966417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3966417 is about 1991.5865534794. The cubic root of 3966417 is about 158.2946086891.

The spelling of 3966417 in words is "three million, nine hundred sixty-six thousand, four hundred seventeen".