54978 has 48 divisors (see below), whose sum is σ = 147744. Its totient is φ = 13440.

The previous prime is 54973. The next prime is 54979. The reversal of 54978 is 87945.

54978 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 is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (10080) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3226 + ... + 3242.

It is an arithmetic number, because the mean of its divisors is an integer number (3078).

2⁵⁴⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872).

54978 is an abundant number, since it is smaller than the sum of its proper divisors (92766).

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

54978 is a wasteful number, since it uses less digits than its factorization.

54978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 40 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 54978 is about 234.4738791422. The cubic root of 54978 is about 38.0244533281.

Subtracting from 54978 its sum of digits (33), we obtain a palindrome (54945).

The spelling of 54978 in words is "fifty-four thousand, nine hundred seventy-eight".