5637 has 4 divisors (see below), whose sum is σ = 7520. Its totient is φ = 3756.

The previous prime is 5623. The next prime is 5639. The reversal of 5637 is 7365.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 5637 - 2⁶ = 5573 is a prime.

It is a D-number.

It is a Duffinian number.

5637 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 937 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (1880).

It is an amenable number.

5637 is a deficient number, since it is larger than the sum of its proper divisors (1883).

5637 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 5637 = (7653)₉.

5637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882.

The product of its digits is 630, while the sum is 21.

The square root of 5637 is about 75.0799573788. The cubic root of 5637 is about 17.7971042716.

Subtracting 5637 from its reverse (7365), we obtain a cube (1728 = 12³).

The spelling of 5637 in words is "five thousand, six hundred thirty-seven".