54306 has 24 divisors (see below), whose sum is σ = 134784. Its totient is φ = 15480.

The previous prime is 54293. The next prime is 54311. The reversal of 54306 is 60345.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5616).

2⁵⁴³⁰⁶ is an apocalyptic number.

54306 is an abundant number, since it is smaller than the sum of its proper divisors (80478).

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 (67392).

54306 is a wasteful number, since it uses less digits than its factorization.

54306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 54306 is about 233.0364778313. The cubic root of 54306 is about 37.8688925877.

The spelling of 54306 in words is "fifty-four thousand, three hundred six".