3917791 has 2 divisors, whose sum is σ = 3917792. Its totient is φ = 3917790.

The previous prime is 3917761. The next prime is 3917801. The reversal of 3917791 is 1977193.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3917791 - 2⁵ = 3917759 is a prime.

It is equal to p₂₇₇₇₆₈ and since 3917791 and 277768 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3917791.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3917731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1958895 + 1958896.

It is an arithmetic number, because the mean of its divisors is an integer number (1958896).

Almost surely, 2^3917791 is an apocalyptic number.

3917791 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917791 is an equidigital number, since it uses as much as digits as its factorization.

3917791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11907, while the sum is 37.

The square root of 3917791 is about 1979.3410519665. The cubic root of 3917791 is about 157.6450800593.

The spelling of 3917791 in words is "three million, nine hundred seventeen thousand, seven hundred ninety-one".