55332 has 36 divisors (see below), whose sum is σ = 147420. Its totient is φ = 17472.

The previous prime is 55331. The next prime is 55333. The reversal of 55332 is 23355.

It is an interprime number because it is at equal distance from previous prime (55331) and next prime (55333).

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 20736 = 186^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (55331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1018 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2⁵⁵³³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710).

55332 is an abundant number, since it is smaller than the sum of its proper divisors (92088).

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

55332 is a wasteful number, since it uses less digits than its factorization.

55332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its digits is 450, while the sum is 18.

The square root of 55332 is about 235.2275494070. The cubic root of 55332 is about 38.1058911675.

Adding to 55332 its reverse (23355), we get a palindrome (78687).

It can be divided in two parts, 553 and 32, that added together give a palindrome (585).

The spelling of 55332 in words is "fifty-five thousand, three hundred thirty-two".