53288 has 8 divisors (see below), whose sum is σ = 99930. Its totient is φ = 26640.

The previous prime is 53281. The next prime is 53299. The reversal of 53288 is 88235.

It can be written as a sum of positive squares in only one way, i.e., 33124 + 20164 = 182^2 + 142^2 .

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

It is a super-2 number, since 2×53288² = 5679221888, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (53281) by changing a digit.

53288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3323 + ... + 3338.

2⁵³²⁸⁸ is an apocalyptic number.

It is an amenable number.

53288 is a deficient number, since it is larger than the sum of its proper divisors (46642).

53288 is a wasteful number, since it uses less digits than its factorization.

53288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667 (or 6663 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 53288 is about 230.8419372644. The cubic root of 53288 is about 37.6307730570.

It can be divided in two parts, 5328 and 8, that multiplied together give a palindrome (42624).

The spelling of 53288 in words is "fifty-three thousand, two hundred eighty-eight".