54705 has 16 divisors (see below), whose sum is σ = 100224. Its totient is φ = 24960.

The previous prime is 54679. The next prime is 54709. The reversal of 54705 is 50745.

54705 = T₆ + T₇ + ... + T₆₈.

It is not a de Polignac number, because 54705 - 2⁵ = 54673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156 + ... + 365.

It is an arithmetic number, because the mean of its divisors is an integer number (6264).

2⁵⁴⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

54705 is a deficient number, since it is larger than the sum of its proper divisors (45519).

54705 is a wasteful number, since it uses less digits than its factorization.

54705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536.

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

The square root of 54705 is about 233.8910002544. The cubic root of 54705 is about 37.9614105019.

The spelling of 54705 in words is "fifty-four thousand, seven hundred five".