5632 has 20 divisors (see below), whose sum is σ = 12276. Its totient is φ = 2560.

The previous prime is 5623. The next prime is 5639. The reversal of 5632 is 2365.

5632 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a d-powerful number, because it can be written as **5**^{5} + **3**^{5} + **6**^{3} + **2**^{11} .

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

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 (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 507 + ... + 517.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138).

5632 is an abundant number, since it is smaller than the sum of its proper divisors (6644).

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

5632 is an equidigital number, since it uses as much as digits as its factorization.

5632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29 (or 13 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 5632 is about 75.0466521572. The cubic root of 5632 is about 17.7918407246.

Adding to 5632 its reverse (2365), we get a palindrome (7997).

It can be divided in two parts, 563 and 2, that added together give a palindrome (565).

The spelling of 5632 in words is "five thousand, six hundred thirty-two".

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