54504 has 24 divisors (see below), whose sum is σ = 147810. Its totient is φ = 18144.

The previous prime is 54503. The next prime is 54517. The reversal of 54504 is 40545.

It is a happy number.

54504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 10404 = 210^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

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 5 ways as a sum of consecutive naturals, for example, 307 + ... + 450.

2⁵⁴⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

54504 is an abundant number, since it is smaller than the sum of its proper divisors (93306).

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

54504 is a wasteful number, since it uses less digits than its factorization.

54504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54504 is about 233.4609175001. The cubic root of 54504 is about 37.9148601697.

The spelling of 54504 in words is "fifty-four thousand, five hundred four".