3966961 has 2 divisors, whose sum is σ = 3966962. Its totient is φ = 3966960.

The previous prime is 3966929. The next prime is 3967027. The reversal of 3966961 is 1696693.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3876961 + 90000 = 1969^2 + 300^2 .

It is an emirp because it is prime and its reverse (1696693) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3966961 - 2⁵ = 3966929 is a prime.

It is not a weakly prime, because it can be changed into another prime (3966161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1983480 + 1983481.

It is an arithmetic number, because the mean of its divisors is an integer number (1983481).

Almost surely, 2^3966961 is an apocalyptic number.

It is an amenable number.

3966961 is a deficient number, since it is larger than the sum of its proper divisors (1).

3966961 is an equidigital number, since it uses as much as digits as its factorization.

3966961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52488, while the sum is 40.

The square root of 3966961 is about 1991.7231233281. The cubic root of 3966961 is about 158.3018451387.

The spelling of 3966961 in words is "three million, nine hundred sixty-six thousand, nine hundred sixty-one".