55854 has 24 divisors (see below), whose sum is σ = 126360. Its totient is φ = 17808.

The previous prime is 55849. The next prime is 55871. The reversal of 55854 is 45855.

55854 = T₄₇ + T₄₈ + ... + T₇₅.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

55854 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 11 ways as a sum of consecutive naturals, for example, 469 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁵⁵⁸⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63180).

55854 is an abundant number, since it is smaller than the sum of its proper divisors (70506).

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

55854 is a wasteful number, since it uses less digits than its factorization.

55854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 55854 is about 236.3345086948. The cubic root of 55854 is about 38.2253461531.

Subtracting from 55854 its reverse (45855), we obtain a palindrome (9999).

It can be divided in two parts, 55 and 854, that added together give a palindrome (909).

The spelling of 55854 in words is "fifty-five thousand, eight hundred fifty-four".