55842 has 16 divisors (see below), whose sum is σ = 114912. Its totient is φ = 18080.

The previous prime is 55837. The next prime is 55843. The reversal of 55842 is 24855.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55843) 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, 133 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁵⁵⁸⁴² is an apocalyptic number.

55842 is an abundant number, since it is smaller than the sum of its proper divisors (59070).

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 (57456).

55842 is a wasteful number, since it uses less digits than its factorization.

55842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 1600, while the sum is 24.

The square root of 55842 is about 236.3091195870. The cubic root of 55842 is about 38.2226084381. Note that the first 3 decimals are identical.

It can be divided in two parts, 558 and 42, that multiplied together give a triangular number (23436 = T₂₁₆).

The spelling of 55842 in words is "fifty-five thousand, eight hundred forty-two".