3887657 has 2 divisors, whose sum is σ = 3887658. Its totient is φ = 3887656.

The previous prime is 3887641. The next prime is 3887659. The reversal of 3887657 is 7567883.

3887657 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., 2421136 + 1466521 = 1556^2 + 1211^2 .

It is an emirp because it is prime and its reverse (7567883) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3887657 - 2⁴ = 3887641 is a prime.

It is a super-2 number, since 2×3887657² = 30227753899298, which contains 22 as substring.

Together with 3887659, 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 (3887659) 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, 1943828 + 1943829.

It is an arithmetic number, because the mean of its divisors is an integer number (1943829).

Almost surely, 2^3887657 is an apocalyptic number.

It is an amenable number.

3887657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3887657 is an equidigital number, since it uses as much as digits as its factorization.

3887657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 282240, while the sum is 44.

The square root of 3887657 is about 1971.7142287867. The cubic root of 3887657 is about 157.2398594718.

The spelling of 3887657 in words is "three million, eight hundred eighty-seven thousand, six hundred fifty-seven".