55530 has 24 divisors (see below), whose sum is σ = 144612. Its totient is φ = 14784.

The previous prime is 55529. The next prime is 55541. The reversal of 55530 is 3555.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 7569 = 219^2 + 87^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219 + ... + 398.

2⁵⁵⁵³⁰ is an apocalyptic number.

55530 is an abundant number, since it is smaller than the sum of its proper divisors (89082).

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 (72306).

55530 is a wasteful number, since it uses less digits than its factorization.

55530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 55530 is about 235.6480426399. The cubic root of 55530 is about 38.1512897594.

Subtracting from 55530 its product of nonzero digits (375), we obtain a palindrome (55155).

It can be divided in two parts, 555 and 30, that added together give a palindrome (585).

The spelling of 55530 in words is "fifty-five thousand, five hundred thirty".