54321 has 8 divisors (see below), whose sum is σ = 76320. Its totient is φ = 34272.

The previous prime is 54319. The next prime is 54323. The reversal of 54321 is 12345.

54321 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (54319) and next prime (54323).

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

It is not a de Polignac number, because 54321 - 2¹ = 54319 is a prime.

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

It is a Curzon number.

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 15.

It is a nialpdrome in base 10 and base 16.

It is a zygodrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 54321.

It is not an unprimeable number, because it can be changed into a prime (54323) 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, 420 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (9540).

2⁵⁴³²¹ is an apocalyptic number.

It is an amenable number.

54321 is a deficient number, since it is larger than the sum of its proper divisors (21999).

54321 is a wasteful number, since it uses less digits than its factorization.

54321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975.

The product of its digits is 120, while the sum is 15.

The square root of 54321 is about 233.0686594118. The cubic root of 54321 is about 37.8723788882.

Adding to 54321 its reverse (12345), we get a palindrome (66666).

The spelling of 54321 in words is "fifty-four thousand, three hundred twenty-one".