6637 has 2 divisors, whose sum is σ = 6638. Its totient is φ = 6636.

The previous prime is 6619. The next prime is 6653. The reversal of 6637 is 7366.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3721 + 2916 = 61^2 + 54^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6637 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6637.

It is not a weakly prime, because it can be changed into another prime (6607) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3318 + 3319.

It is an arithmetic number, because the mean of its divisors is an integer number (3319).

2⁶⁶³⁷ is an apocalyptic number.

It is an amenable number.

6637 is a deficient number, since it is larger than the sum of its proper divisors (1).

6637 is an equidigital number, since it uses as much as digits as its factorization.

6637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756, while the sum is 22.

The square root of 6637 is about 81.4677850442. The cubic root of 6637 is about 18.7927616619.

Subtracting 6637 from its reverse (7366), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 66 and 37, that multiplied together give a palindrome (2442).

The spelling of 6637 in words is "six thousand, six hundred thirty-seven".