21032 has 16 divisors (see below), whose sum is σ = 43200. Its totient is φ = 9520.

The previous prime is 21031. The next prime is 21059. The reversal of 21032 is 23012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 21032.

It is not an unprimeable number, because it can be changed into a prime (21031) 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 in 3 ways as a sum of consecutive naturals, for example, 32 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2²¹⁰³² is an apocalyptic number.

21032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21032 is an abundant number, since it is smaller than the sum of its proper divisors (22168).

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 (21600).

21032 is a wasteful number, since it uses less digits than its factorization.

21032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 21032 is about 145.0241359223. The cubic root of 21032 is about 27.6032482349.

Adding to 21032 its reverse (23012), we get a palindrome (44044).

It can be divided in two parts, 210 and 32, that added together give a palindrome (242).

The spelling of 21032 in words is "twenty-one thousand, thirty-two".