3967909 has 8 divisors (see below), whose sum is σ = 4357152. Its totient is φ = 3583440.

The previous prime is 3967877. The next prime is 3967913. The reversal of 3967909 is 9097693.

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 3967909 - 2⁵ = 3967877 is a prime.

It is a Duffinian number.

3967909 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3967609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 2899.

It is an arithmetic number, because the mean of its divisors is an integer number (544644).

Almost surely, 2^3967909 is an apocalyptic number.

It is an amenable number.

3967909 is a deficient number, since it is larger than the sum of its proper divisors (389243).

3967909 is a wasteful number, since it uses less digits than its factorization.

3967909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387.

The product of its (nonzero) digits is 91854, while the sum is 43.

The square root of 3967909 is about 1991.9610939976. The cubic root of 3967909 is about 158.3144541356.

It can be divided in two parts, 39 and 67909, that multiplied together give a triangular number (2648451 = T₂₃₀₁).

The spelling of 3967909 in words is "three million, nine hundred sixty-seven thousand, nine hundred nine".