3637 has 2 divisors, whose sum is σ = 3638. Its totient is φ = 3636.

The previous prime is 3631. The next prime is 3643. The reversal of 3637 is 7363.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (3631) and next prime (3643).

It can be written as a sum of positive squares in only one way, i.e., 2116 + 1521 = 46^2 + 39^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3637 is a prime.

It is a Chen prime.

It is a plaindrome in base 14 and base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1818 + 1819.

It is an arithmetic number, because the mean of its divisors is an integer number (1819).

It is an amenable number.

3637 is a deficient number, since it is larger than the sum of its proper divisors (1).

3637 is an equidigital number, since it uses as much as digits as its factorization.

3637 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 19.

The square root of 3637 is about 60.3075451333. The cubic root of 3637 is about 15.3785161720.

The spelling of 3637 in words is "three thousand, six hundred thirty-seven".