54516 has 48 divisors (see below), whose sum is σ = 161280. Its totient is φ = 13920.

The previous prime is 54503. The next prime is 54517. The reversal of 54516 is 61545.

It is a happy number.

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

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54492 and 54501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54517) 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, 895 + ... + 953.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2⁵⁴⁵¹⁶ 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 54516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

54516 is an abundant number, since it is smaller than the sum of its proper divisors (106764).

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

54516 is a wasteful number, since it uses less digits than its factorization.

54516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 82 counting only the distinct ones).

The product of its digits is 600, while the sum is 21.

The square root of 54516 is about 233.4866163188. The cubic root of 54516 is about 37.9176425033.

It can be divided in two parts, 545 and 16, that added together give a triangular number (561 = T₃₃).

The spelling of 54516 in words is "fifty-four thousand, five hundred sixteen".