55930 has 32 divisors (see below), whose sum is σ = 124416. Its totient is φ = 17664.

The previous prime is 55927. The next prime is 55931. The reversal of 55930 is 3955.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (55931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167 + ... + 1213.

It is an arithmetic number, because the mean of its divisors is an integer number (3888).

2⁵⁵⁹³⁰ is an apocalyptic number.

55930 is an abundant number, since it is smaller than the sum of its proper divisors (68486).

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 (62208).

55930 is a wasteful number, since it uses less digits than its factorization.

55930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 55930 is about 236.4952430811. The cubic root of 55930 is about 38.2426759155.

Subtracting from 55930 its product of nonzero digits (675), we obtain a palindrome (55255).

The spelling of 55930 in words is "fifty-five thousand, nine hundred thirty".