54366 has 32 divisors (see below), whose sum is σ = 127008. Its totient is φ = 15360.

The previous prime is 54361. The next prime is 54367. The reversal of 54366 is 66345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54361) 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, 1306 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (3969).

2⁵⁴³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

54366 is an abundant number, since it is smaller than the sum of its proper divisors (72642).

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

54366 is a wasteful number, since it uses less digits than its factorization.

54366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its digits is 2160, while the sum is 24.

The square root of 54366 is about 233.1651775030. The cubic root of 54366 is about 37.8828339403.

It can be divided in two parts, 5 and 4366, that added together give a triangular number (4371 = T₉₃).

The spelling of 54366 in words is "fifty-four thousand, three hundred sixty-six".