54564 has 12 divisors (see below), whose sum is σ = 127344. Its totient is φ = 18184.

The previous prime is 54563. The next prime is 54577. The reversal of 54564 is 46545.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54563) by changing a digit.

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, 2262 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (10612).

2⁵⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

54564 is an abundant number, since it is smaller than the sum of its proper divisors (72780).

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 (63672).

54564 is a wasteful number, since it uses less digits than its factorization.

54564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4552 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 54564 is about 233.5893833204. The cubic root of 54564 is about 37.9287677566.

It can be divided in two parts, 5456 and 4, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 54564 in words is "fifty-four thousand, five hundred sixty-four".