54675 has 24 divisors (see below), whose sum is σ = 101680. Its totient is φ = 29160.

The previous prime is 54673. The next prime is 54679. The reversal of 54675 is 57645.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 54675 - 2¹ = 54673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime divisors (8).

It is a nialpdrome in base 3, base 5 and base 9.

It is not an unprimeable number, because it can be changed into a prime (54673) 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, 10933 + ... + 10937.

2⁵⁴⁶⁷⁵ is an apocalyptic number.

54675 is a deficient number, since it is larger than the sum of its proper divisors (47005).

54675 is an frugal number, since it uses more digits than its factorization.

54675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31 (or 8 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 54675 is about 233.8268590218. The cubic root of 54675 is about 37.9544699386.

Multiplying 54675 by its sum of digits (27), we get a square (1476225 = 1215²).

54675 divided by its sum of digits (27) gives a square (2025 = 45²).

It can be divided in two parts, 54 and 675, that added together give a 6-th power (729 = 3⁶).

The spelling of 54675 in words is "fifty-four thousand, six hundred seventy-five".