53532 has 18 divisors (see below), whose sum is σ = 135408. Its totient is φ = 17832.

The previous prime is 53527. The next prime is 53549. The reversal of 53532 is 23535.

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

53532 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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 708 + ... + 779.

2⁵³⁵³² is an apocalyptic number.

It is an amenable number.

53532 is an abundant number, since it is smaller than the sum of its proper divisors (81876).

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

53532 is a wasteful number, since it uses less digits than its factorization.

53532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1492 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 53532 is about 231.3698338159. The cubic root of 53532 is about 37.6881213646.

It can be divided in two parts, 53 and 532, that added together give a palindrome (585).

The spelling of 53532 in words is "fifty-three thousand, five hundred thirty-two".