5508 has 30 divisors (see below), whose sum is σ = 15246. Its totient is φ = 1728.

The previous prime is 5507. The next prime is 5519. The reversal of 5508 is 8055.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 324 = 72^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5501) 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 9 ways as a sum of consecutive naturals, for example, 316 + ... + 332.

2^{5508} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623).

5508 is an abundant number, since it is smaller than the sum of its proper divisors (9738).

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

5508 is a wasteful number, since it uses less digits than its factorization.

5508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 5508 is about 74.2159012611. The cubic root of 5508 is about 17.6602959507.

The spelling of 5508 in words is "five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508

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