3917281 has 2 divisors, whose sum is σ = 3917282. Its totient is φ = 3917280.

The previous prime is 3917267. The next prime is 3917297. The reversal of 3917281 is 1827193.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3744225 + 173056 = 1935^2 + 416^2 .

It is an emirp because it is prime and its reverse (1827193) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3917281 - 2¹⁹ = 3392993 is a prime.

It is a super-3 number, since 3×3917281³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (3917201) 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, 1958640 + 1958641.

It is an arithmetic number, because the mean of its divisors is an integer number (1958641).

Almost surely, 2^3917281 is an apocalyptic number.

It is an amenable number.

3917281 is a deficient number, since it is larger than the sum of its proper divisors (1).

3917281 is an equidigital number, since it uses as much as digits as its factorization.

3917281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 31.

The square root of 3917281 is about 1979.2122170197. The cubic root of 3917281 is about 157.6382392588.

The spelling of 3917281 in words is "three million, nine hundred seventeen thousand, two hundred eighty-one".