65532 has 24 divisors (see below), whose sum is σ = 157696. Its totient is φ = 21168.

The previous prime is 65521. The next prime is 65537. The reversal of 65532 is 23556.

It is a nialpdrome in base 2, base 4, base 10 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 65499 and 65508.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 65532.

It is not an unprimeable number, because it can be changed into a prime (65537) by changing a digit.

65532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453 + ... + 579.

2⁶⁵⁵³² is an apocalyptic number.

It is an amenable number.

65532 is an abundant number, since it is smaller than the sum of its proper divisors (92164).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78848).

65532 is a wasteful number, since it uses less digits than its factorization.

65532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 900, while the sum is 21.

The square root of 65532 is about 255.9921873808. The cubic root of 65532 is about 40.3166533188.

It can be divided in two parts, 6553 and 2, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 65532 in words is "sixty-five thousand, five hundred thirty-two".