54980 has 12 divisors (see below), whose sum is σ = 115500. Its totient is φ = 21984.

The previous prime is 54979. The next prime is 54983. The reversal of 54980 is 8945.

54980 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 12544 + 42436 = 112^2 + 206^2 .

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54983) 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, 1355 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (9625).

2⁵⁴⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

54980 is an abundant number, since it is smaller than the sum of its proper divisors (60520).

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 (57750).

54980 is a wasteful number, since it uses less digits than its factorization.

54980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 54980 is about 234.4781439708. The cubic root of 54980 is about 38.0249144094.

The spelling of 54980 in words is "fifty-four thousand, nine hundred eighty".