55830 has 16 divisors (see below), whose sum is σ = 134064. Its totient is φ = 14880.

The previous prime is 55829. The next prime is 55837. The reversal of 55830 is 3855.

Added to its reverse (3855) it gives a triangular number (59685 = T₃₄₅).

55830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55797 and 55806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901 + ... + 960.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2⁵⁵⁸³⁰ is an apocalyptic number.

55830 is an abundant number, since it is smaller than the sum of its proper divisors (78234).

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 (67032).

55830 is a wasteful number, since it uses less digits than its factorization.

55830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55830 is about 236.2837277512. The cubic root of 55830 is about 38.2198703308.

Adding to 55830 its reverse (3855), we get a triangular number (59685 = T₃₄₅).

The spelling of 55830 in words is "fifty-five thousand, eight hundred thirty".