3968297 has 2 divisors, whose sum is σ = 3968298. Its totient is φ = 3968296.

The previous prime is 3968291. The next prime is 3968299. The reversal of 3968297 is 7928693.

3968297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3936256 + 32041 = 1984^2 + 179^2 .

It is a cyclic number.

It is not a de Polignac number, because 3968297 - 2¹² = 3964201 is a prime.

Together with 3968299, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (3968291) 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 as a sum of consecutive naturals, namely, 1984148 + 1984149.

It is an arithmetic number, because the mean of its divisors is an integer number (1984149).

Almost surely, 2^3968297 is an apocalyptic number.

It is an amenable number.

3968297 is a deficient number, since it is larger than the sum of its proper divisors (1).

3968297 is an equidigital number, since it uses as much as digits as its factorization.

3968297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 163296, while the sum is 44.

The square root of 3968297 is about 1992.0584830772. The cubic root of 3968297 is about 158.3196142007.

The spelling of 3968297 in words is "three million, nine hundred sixty-eight thousand, two hundred ninety-seven".