54750 has 32 divisors (see below), whose sum is σ = 138528. Its totient is φ = 14400.

The previous prime is 54727. The next prime is 54751. The reversal of 54750 is 5745.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54751) by changing a digit.

54750 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 714 + ... + 786.

It is an arithmetic number, because the mean of its divisors is an integer number (4329).

2⁵⁴⁷⁵⁰ is an apocalyptic number.

54750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69264).

54750 is an abundant number, since it is smaller than the sum of its proper divisors (83778).

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

54750 is a wasteful number, since it uses less digits than its factorization.

54750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 54750 is about 233.9871791360. The cubic root of 54750 is about 37.9718165909.

The spelling of 54750 in words is "fifty-four thousand, seven hundred fifty".