3967385 has 8 divisors (see below), whose sum is σ = 4968000. Its totient is φ = 3035824.

The previous prime is 3967373. The next prime is 3967417. The reversal of 3967385 is 5837693.

3967385 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 a cyclic number.

It is not a de Polignac number, because 3967385 - 2⁶ = 3967321 is a prime.

It is a super-3 number, since 3×3967385³ (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 3⁸ + 9⁴ + 6⁸ + 7³ + 3¹¹ + 8⁷ + 5 .

It is an unprimeable number.

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, 17135 + ... + 17364.

It is an arithmetic number, because the mean of its divisors is an integer number (621000).

Almost surely, 2^3967385 is an apocalyptic number.

It is an amenable number.

3967385 is a deficient number, since it is larger than the sum of its proper divisors (1000615).

3967385 is a wasteful number, since it uses less digits than its factorization.

3967385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34527.

The product of its digits is 136080, while the sum is 41.

The square root of 3967385 is about 1991.8295609816. The cubic root of 3967385 is about 158.3074848539.

The spelling of 3967385 in words is "three million, nine hundred sixty-seven thousand, three hundred eighty-five".