54330 has 16 divisors (see below), whose sum is σ = 130464. Its totient is φ = 14480.

The previous prime is 54323. The next prime is 54331. The reversal of 54330 is 3345.

54330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (54331) by changing a digit.

54330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876 + ... + 935.

It is an arithmetic number, because the mean of its divisors is an integer number (8154).

2⁵⁴³³⁰ is an apocalyptic number.

54330 is an abundant number, since it is smaller than the sum of its proper divisors (76134).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65232).

54330 is a wasteful number, since it uses less digits than its factorization.

54330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 54330 is about 233.0879662273. The cubic root of 54330 is about 37.8744703604.

Adding to 54330 its sum of digits (15), we get a palindrome (54345).

Adding to 54330 its reverse (3345), we get a palindrome (57675).

It can be divided in two parts, 543 and 30, that multiplied together give a triangular number (16290 = T₁₈₀).

The spelling of 54330 in words is "fifty-four thousand, three hundred thirty".