3643657 has 2 divisors, whose sum is σ = 3643658. Its totient is φ = 3643656.

The previous prime is 3643639. The next prime is 3643669. The reversal of 3643657 is 7563463.

3643657 is nontrivially palindromic in base 12.

3643657 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., 3594816 + 48841 = 1896^2 + 221^2 .

It is a cyclic number.

It is not a de Polignac number, because 3643657 - 2⁷ = 3643529 is a prime.

It is not a weakly prime, because it can be changed into another prime (3644657) 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, 1821828 + 1821829.

It is an arithmetic number, because the mean of its divisors is an integer number (1821829).

Almost surely, 2^3643657 is an apocalyptic number.

It is an amenable number.

3643657 is a deficient number, since it is larger than the sum of its proper divisors (1).

3643657 is an equidigital number, since it uses as much as digits as its factorization.

3643657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 34.

The square root of 3643657 is about 1908.8365566491. The cubic root of 3643657 is about 153.8789316634.

The spelling of 3643657 in words is "three million, six hundred forty-three thousand, six hundred fifty-seven".