3971087201 has 2 divisors, whose sum is σ = 3971087202. Its totient is φ = 3971087200.

The previous prime is 3971087179. The next prime is 3971087203. The reversal of 3971087201 is 1027801793.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3681576976 + 289510225 = 60676^2 + 17015^2 .

It is a cyclic number.

It is not a de Polignac number, because 3971087201 - 2¹⁸ = 3970825057 is a prime.

Together with 3971087203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3971087203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1985543600 + 1985543601.

It is an arithmetic number, because the mean of its divisors is an integer number (1985543601).

Almost surely, 2^3971087201 is an apocalyptic number.

It is an amenable number.

3971087201 is a deficient number, since it is larger than the sum of its proper divisors (1).

3971087201 is an equidigital number, since it uses as much as digits as its factorization.

3971087201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 38.

The square root of 3971087201 is about 63016.5629100794. The cubic root of 3971087201 is about 1583.5671156282.

Adding to 3971087201 its reverse (1027801793), we get a palindrome (4998888994).

The spelling of 3971087201 in words is "three billion, nine hundred seventy-one million, eighty-seven thousand, two hundred one".