54820 has 12 divisors (see below), whose sum is σ = 115164. Its totient is φ = 21920.

The previous prime is 54799. The next prime is 54829. The reversal of 54820 is 2845.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17956 + 36864 = 134^2 + 192^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54829) by changing a digit.

54820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1351 + ... + 1390.

It is an arithmetic number, because the mean of its divisors is an integer number (9597).

2⁵⁴⁸²⁰ is an apocalyptic number.

It is an amenable number.

54820 is an abundant number, since it is smaller than the sum of its proper divisors (60344).

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 (57582).

54820 is a wasteful number, since it uses less digits than its factorization.

54820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 54820 is about 234.1367122004. The cubic root of 54820 is about 37.9879925128.

The spelling of 54820 in words is "fifty-four thousand, eight hundred twenty".