3967205 has 16 divisors (see below), whose sum is σ = 5500224. Its totient is φ = 2714880.

The previous prime is 3967193. The next prime is 3967207. The reversal of 3967205 is 5027693.

3967205 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 3967205 - 2⁴ = 3967189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967207) 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, 1187 + ... + 3056.

It is an arithmetic number, because the mean of its divisors is an integer number (343764).

Almost surely, 2^3967205 is an apocalyptic number.

It is an amenable number.

3967205 is a deficient number, since it is larger than the sum of its proper divisors (1533019).

3967205 is a wasteful number, since it uses less digits than its factorization.

3967205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276.

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 3967205 is about 1991.7843758801. The cubic root of 3967205 is about 158.3050906843.

The spelling of 3967205 in words is "three million, nine hundred sixty-seven thousand, two hundred five".