54500 has 24 divisors (see below), whose sum is σ = 120120. Its totient is φ = 21600.

The previous prime is 54499. The next prime is 54503. The reversal of 54500 is 545.

54500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 53824 = 26^2 + 232^2 .

It is an Ulam number.

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (54503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 554.

It is an arithmetic number, because the mean of its divisors is an integer number (5005).

2⁵⁴⁵⁰⁰ is an apocalyptic number.

54500 is a gapful number since it is divisible by the number (50) 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 54500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060).

54500 is an abundant number, since it is smaller than the sum of its proper divisors (65620).

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

54500 is a wasteful number, since it uses less digits than its factorization.

54500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 54500 is about 233.4523505986. The cubic root of 54500 is about 37.9139326344.

54500 divided by its product of nonzero digits (100) gives a palindrome (545).

Multiplying 54500 by its reverse (545), we get a square (29702500 = 5450²).

54500 divided by its reverse (545) gives a square (100 = 10²).

It can be divided in two parts, 54 and 500, that multiplied together give a cube (27000 = 30³).

The spelling of 54500 in words is "fifty-four thousand, five hundred".