52832 has 24 divisors (see below), whose sum is σ = 112896. Its totient is φ = 24192.

The previous prime is 52817. The next prime is 52837. The reversal of 52832 is 23825.

52832 is nontrivially palindromic in base 7.

It is a d-powerful number, because it can be written as 5³ + 2⁷ + 8⁵ + 3⁹ + 2⁷ .

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52837) by changing a digit.

52832 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 3 ways as a sum of consecutive naturals, for example, 353 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁵²⁸³² is an apocalyptic number.

52832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

52832 is an abundant number, since it is smaller than the sum of its proper divisors (60064).

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

52832 is a wasteful number, since it uses less digits than its factorization.

52832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 52832 is about 229.8521263769. The cubic root of 52832 is about 37.5231264756.

It can be divided in two parts, 52 and 832, that multiplied together give a square (43264 = 208²).

The spelling of 52832 in words is "fifty-two thousand, eight hundred thirty-two".