54684 has 54 divisors (see below), whose sum is σ = 165984. Its totient is φ = 15120.

The previous prime is 54679. The next prime is 54709. The reversal of 54684 is 48645.

54684 = T_{7} + T_{8} + ... +
T_{68}.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1749 + ... + 1779.

2^{54684} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82992).

54684 is an abundant number, since it is smaller than the sum of its proper divisors (111300).

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

54684 is a wasteful number, since it uses less digits than its factorization.

54684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 54684 is about 233.8461032389. The cubic root of 54684 is about 37.9565523741.

It can be divided in two parts, 546 and 84, that added together give a triangular number (630 = T_{35}).

The spelling of 54684 in words is "fifty-four thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13671 18228 27342 54684

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