55938 has 8 divisors (see below), whose sum is σ = 111888. Its totient is φ = 18644.

The previous prime is 55933. The next prime is 55949. The reversal of 55938 is 83955.

It is a sphenic number, since it is the product of 3 distinct primes.

55938 is an admirable number.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55938.

It is not an unprimeable number, because it can be changed into a prime (55931) by changing a digit.

55938 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4656 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (13986).

2⁵⁵⁹³⁸ is an apocalyptic number.

55938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (55944).

55938 is a wasteful number, since it uses less digits than its factorization.

55938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328.

The product of its digits is 5400, while the sum is 30.

The square root of 55938 is about 236.5121561358. The cubic root of 55938 is about 38.2444991876.

It can be divided in two parts, 5593 and 8, that multiplied together give a palindrome (44744).

The spelling of 55938 in words is "fifty-five thousand, nine hundred thirty-eight".