53832 has 16 divisors (see below), whose sum is σ = 134640. Its totient is φ = 17936.

The previous prime is 53831. The next prime is 53849. The reversal of 53832 is 23835.

It is a junction number, because it is equal to n+sod(n) for n = 53799 and 53808.

It is not an unprimeable number, because it can be changed into a prime (53831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1098 + ... + 1145.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2⁵³⁸³² is an apocalyptic number.

It is an amenable number.

53832 is an abundant number, since it is smaller than the sum of its proper divisors (80808).

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 (67320).

53832 is a wasteful number, since it uses less digits than its factorization.

53832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2248 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 53832 is about 232.0172407387. The cubic root of 53832 is about 37.7583932334.

The spelling of 53832 in words is "fifty-three thousand, eight hundred thirty-two".