5634 has 12 divisors (see below), whose sum is σ = 12246. Its totient is φ = 1872.

The previous prime is 5623. The next prime is 5639. The reversal of 5634 is 4365.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 9 = 75^2 + 3^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 313 = 5634 / (5 + 6 + 3 + 4).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 7.

It is a nialpdrome in base 9.

It is a zygodrome in base 7.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5634.

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 5 ways as a sum of consecutive naturals, for example, 139 + ... + 174.

2⁵⁶³⁴ is an apocalyptic number.

5634 is an abundant number, since it is smaller than the sum of its proper divisors (6612).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5634 is a wasteful number, since it uses less digits than its factorization.

5634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 5634 is about 75.0599760192. The cubic root of 5634 is about 17.7939465171.

5634 divided by its sum of digits (18) gives a palindrome (313).

Adding to 5634 its reverse (4365), we get a palindrome (9999).

The spelling of 5634 in words is "five thousand, six hundred thirty-four".