55338 has 16 divisors (see below), whose sum is σ = 115776. Its totient is φ = 17600.

The previous prime is 55337. The next prime is 55339. The reversal of 55338 is 83355.

55338 is nontrivially palindromic in base 5.

55338 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (55337) and next prime (55339).

55338 is an undulating number in base 5.

It is not an unprimeable number, because it can be changed into a prime (55331) 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, 63 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (7236).

2⁵⁵³³⁸ is an apocalyptic number.

55338 is an abundant number, since it is smaller than the sum of its proper divisors (60438).

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 (57888).

55338 is a wasteful number, since it uses less digits than its factorization.

55338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429.

The product of its digits is 1800, while the sum is 24.

The square root of 55338 is about 235.2403026694. The cubic root of 55338 is about 38.1072684723.

It can be divided in two parts, 55 and 338, that added together give a palindrome (393).

The spelling of 55338 in words is "fifty-five thousand, three hundred thirty-eight".