5635 has 12 divisors (see below), whose sum is σ = 8208. Its totient is φ = 3696.

The previous prime is 5623. The next prime is 5639. The reversal of 5635 is 5365.

It is not a de Polignac number, because 5635 - 2⁷ = 5507 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

5635 is a deficient number, since it is larger than the sum of its proper divisors (2573).

5635 is a wasteful number, since it uses less digits than its factorization.

5635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 35 counting only the distinct ones).

The product of its digits is 450, while the sum is 19.

The square root of 5635 is about 75.0666370633. The cubic root of 5635 is about 17.7949992264.

It can be divided in two parts, 56 and 35, that added together give a triangular number (91 = T₁₃).

The spelling of 5635 in words is "five thousand, six hundred thirty-five".