55505 has 8 divisors (see below), whose sum is σ = 70632. Its totient is φ = 41728.

The previous prime is 55501. The next prime is 55511. The reversal of 55505 is 50555.

It is a happy number.

55505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 49729 = 76^2 + 223^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 55505 - 2² = 55501 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55501) 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, 242 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (8829).

2⁵⁵⁵⁰⁵ is an apocalyptic number.

It is an amenable number.

55505 is a deficient number, since it is larger than the sum of its proper divisors (15127).

55505 is a wasteful number, since it uses less digits than its factorization.

55505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675.

The product of its (nonzero) digits is 625, while the sum is 20.

The square root of 55505 is about 235.5949914578. The cubic root of 55505 is about 38.1455635729.

Subtracting from 55505 its reverse (50555), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 5550 and 5, that added together give a palindrome (5555).

The spelling of 55505 in words is "fifty-five thousand, five hundred five".