5633 has 4 divisors (see below), whose sum is σ = 5808. Its totient is φ = 5460.

The previous prime is 5623. The next prime is 5639. The reversal of 5633 is 3365.

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 3365 = 5 ⋅673.

It is a cyclic number.

It is not a de Polignac number, because 5633 - 2⁶ = 5569 is a prime.

It is a Duffinian number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (1452).

It is a Proth number, since it is equal to 11 ⋅ 2⁹ + 1 and 11 < 2⁹.

2⁵⁶³³ is an apocalyptic number.

It is an amenable number.

5633 is a deficient number, since it is larger than the sum of its proper divisors (175).

5633 is a wasteful number, since it uses less digits than its factorization.

5633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174.

The product of its digits is 270, while the sum is 17.

The square root of 5633 is about 75.0533143838. The cubic root of 5633 is about 17.7928936831.

Adding to 5633 its reverse (3365), we get a palindrome (8998).

The spelling of 5633 in words is "five thousand, six hundred thirty-three".