54032 has 20 divisors (see below), whose sum is σ = 114576. Its totient is φ = 24480.

The previous prime is 54013. The next prime is 54037. The reversal of 54032 is 23045.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 53998 and 54016.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54032.

It is not an unprimeable number, because it can be changed into a prime (54037) by changing a digit.

54032 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 3 ways as a sum of consecutive naturals, for example, 23 + ... + 329.

2⁵⁴⁰³² 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 54032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288).

54032 is an abundant number, since it is smaller than the sum of its proper divisors (60544).

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

54032 is a wasteful number, since it uses less digits than its factorization.

54032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 54032 is about 232.4478436123. The cubic root of 54032 is about 37.8050962213.

Adding to 54032 its reverse (23045), we get a palindrome (77077).

The spelling of 54032 in words is "fifty-four thousand, thirty-two", and thus it is an eban number.