3631 has 2 divisors, whose sum is σ = 3632. Its totient is φ = 3630.

The previous prime is 3623. The next prime is 3637. The reversal of 3631 is 1363.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 3631 - 2³ = 3623 is a prime.

It is a super-2 number, since 2×3631² = 26368322, which contains 22 as substring.

It is equal to p₅₀₈ and since 3631 and 508 have the same sum of digits, it is a Honaker prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1815 + 1816.

It is an arithmetic number, because the mean of its divisors is an integer number (1816).

3631 is a deficient number, since it is larger than the sum of its proper divisors (1).

3631 is an equidigital number, since it uses as much as digits as its factorization.

3631 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 13.

The square root of 3631 is about 60.2577795807. The cubic root of 3631 is about 15.3700548134.

Adding to 3631 its reverse (1363), we get a palindrome (4994).

The spelling of 3631 in words is "three thousand, six hundred thirty-one".