54729 has 8 divisors (see below), whose sum is σ = 81120. Its totient is φ = 36468.

The previous prime is 54727. The next prime is 54751. The reversal of 54729 is 92745.

It is not a de Polignac number, because 54729 - 2¹ = 54727 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2027 = 54729 / (5 + 4 + 7 + 2 + 9).

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

54729 is a modest number, since divided by 729 gives 54 as remainder.

54729 is a lucky number.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54729.

It is not an unprimeable number, because it can be changed into a prime (54721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 987 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (10140).

2⁵⁴⁷²⁹ is an apocalyptic number.

It is an amenable number.

54729 is a deficient number, since it is larger than the sum of its proper divisors (26391).

54729 is a wasteful number, since it uses less digits than its factorization.

54729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2030 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 54729 is about 233.9423005786. The cubic root of 54729 is about 37.9669611259.

Adding to 54729 its sum of digits (27), we get a square (54756 = 234²).

It can be divided in two parts, 547 and 29, that added together give a square (576 = 24²).

The spelling of 54729 in words is "fifty-four thousand, seven hundred twenty-nine".