54580 has 12 divisors (see below), whose sum is σ = 114660. Its totient is φ = 21824.

The previous prime is 54577. The next prime is 54581. The reversal of 54580 is 8545.

It is a happy number.

54580 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 2 ways, for example, as 39204 + 15376 = 198^2 + 124^2 .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54581) 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, 1345 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (9555).

2⁵⁴⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

54580 is an abundant number, since it is smaller than the sum of its proper divisors (60080).

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 (57330).

54580 is a wasteful number, since it uses less digits than its factorization.

54580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 54580 is about 233.6236289419. The cubic root of 54580 is about 37.9324747245.

It can be divided in two parts, 545 and 80, that added together give a 4-th power (625 = 5⁴).

The spelling of 54580 in words is "fifty-four thousand, five hundred eighty".