54735 has 16 divisors (see below), whose sum is σ = 90720. Its totient is φ = 28160.

The previous prime is 54727. The next prime is 54751. The reversal of 54735 is 53745.

It is not a de Polignac number, because 54735 - 2³ = 54727 is a prime.

54735 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54735.

It is an unprimeable 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, 571 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁵⁴⁷³⁵ is an apocalyptic number.

54735 is a deficient number, since it is larger than the sum of its proper divisors (35985).

54735 is a wasteful number, since it uses less digits than its factorization.

54735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its digits is 2100, while the sum is 24.

The square root of 54735 is about 233.9551239020. The cubic root of 54735 is about 37.9683485283.

Subtracting from 54735 its reverse (53745), we obtain a triangular number (990 = T₄₄).

The spelling of 54735 in words is "fifty-four thousand, seven hundred thirty-five".