54561 has 8 divisors (see below), whose sum is σ = 78400. Its totient is φ = 33552.

The previous prime is 54559. The next prime is 54563. The reversal of 54561 is 16545.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54559) and next prime (54563).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54561 - 2¹ = 54559 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (54563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661 + ... + 738.

It is an arithmetic number, because the mean of its divisors is an integer number (9800).

2⁵⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

54561 is a deficient number, since it is larger than the sum of its proper divisors (23839).

54561 is a wasteful number, since it uses less digits than its factorization.

54561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415.

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

The square root of 54561 is about 233.5829617074. The cubic root of 54561 is about 37.9280726195.

It can be divided in two parts, 545 and 61, that added together give a palindrome (606).

The spelling of 54561 in words is "fifty-four thousand, five hundred sixty-one".