3966967 has 8 divisors (see below), whose sum is σ = 4222800. Its totient is φ = 3713664.

The previous prime is 3966961. The next prime is 3967027. The reversal of 3966967 is 7696693.

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 3966967 - 2¹⁹ = 3442679 is a prime.

3966967 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966961) 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, 3384 + ... + 4402.

It is an arithmetic number, because the mean of its divisors is an integer number (527850).

Almost surely, 2^3966967 is an apocalyptic number.

3966967 is a deficient number, since it is larger than the sum of its proper divisors (255833).

3966967 is a wasteful number, since it uses less digits than its factorization.

3966967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265.

The product of its digits is 367416, while the sum is 46.

The square root of 3966967 is about 1991.7246295610. The cubic root of 3966967 is about 158.3019249488.

The spelling of 3966967 in words is "three million, nine hundred sixty-six thousand, nine hundred sixty-seven".