20532 has 24 divisors (see below), whose sum is σ = 50400. Its totient is φ = 6496.

The previous prime is 20521. The next prime is 20533. The reversal of 20532 is 23502.

20532 = T₆₃ + T₆₄ + ... + T₇₁.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a d-powerful number, because it can be written as 2¹² + 0 + 5² + 3³ + 2¹⁴ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20533) by changing a digit.

20532 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 in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 377.

It is an arithmetic number, because the mean of its divisors is an integer number (2100).

2²⁰⁵³² 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 20532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

20532 is an abundant number, since it is smaller than the sum of its proper divisors (29868).

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

20532 is a wasteful number, since it uses less digits than its factorization.

20532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 20532 is about 143.2899159048. The cubic root of 20532 is about 27.3827515006.

20532 divided by its sum of digits (12) gives a triangular number (1711 = T₅₈).

The spelling of 20532 in words is "twenty thousand, five hundred thirty-two".