5536 has 12 divisors (see below), whose sum is σ = 10962. Its totient is φ = 2752.

The previous prime is 5531. The next prime is 5557. The reversal of 5536 is 6355.

Adding to 5536 its sum of digits (19), we get a palindrome (5555).

It can be divided in two parts, 55 and 36, that added together give a triangular number (91 = T_{13}).

5536 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 1936 = 60^2 + 44^2 .

It is a tetranacci number.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (5531) 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 as a sum of consecutive naturals, namely, 55 + ... + 118.

It is an amenable number.

5536 is a deficient number, since it is larger than the sum of its proper divisors (5426).

5536 is a wasteful number, since it uses less digits than its factorization.

5536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

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

The square root of 5536 is about 74.4043009510. The cubic root of 5536 is about 17.6901708437.

The spelling of 5536 in words is "five thousand, five hundred thirty-six".

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