56838 has 8 divisors (see below), whose sum is σ = 113688. Its totient is φ = 18944.

The previous prime is 56827. The next prime is 56843. The reversal of 56838 is 83865.

56838 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

56838 is an admirable number.

It is a congruent number.

It is an unprimeable number.

56838 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 3 ways as a sum of consecutive naturals, for example, 4731 + ... + 4742.

It is an arithmetic number, because the mean of its divisors is an integer number (14211).

2⁵⁶⁸³⁸ is an apocalyptic number.

56838 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 (56844).

56838 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 56838 = (85863)₉.

56838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9478.

The product of its digits is 5760, while the sum is 30.

The square root of 56838 is about 238.4072146559. The cubic root of 56838 is about 38.4485172332.

It can be divided in two parts, 568 and 38, that added together give a palindrome (606).

The spelling of 56838 in words is "fifty-six thousand, eight hundred thirty-eight".