5288 has 8 divisors (see below), whose sum is σ = 9930. Its totient is φ = 2640.

The previous prime is 5281. The next prime is 5297. The reversal of 5288 is 8825.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 1444 = 62^2 + 38^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (5281) 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, 323 + ... + 338.

2⁵²⁸⁸ is an apocalyptic number.

It is an amenable number.

5288 is a deficient number, since it is larger than the sum of its proper divisors (4642).

5288 is a wasteful number, since it uses less digits than its factorization.

5288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 663 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 5288 is about 72.7186358508. The cubic root of 5288 is about 17.4219654774.

It can be divided in two parts, 528 and 8, that multiplied together give a palindrome (4224).

The spelling of 5288 in words is "five thousand, two hundred eighty-eight".