55555 has 8 divisors (see below), whose sum is σ = 68544. Its totient is φ = 43200.

The previous prime is 55547. The next prime is 55579.

55555 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 55555 - 2³ = 55547 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a Duffinian number.

55555 is a modest number, since divided by 555 gives 55 as remainder.

55555 is a lucky number.

55555 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 340.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2⁵⁵⁵⁵⁵ is an apocalyptic number.

55555 is a deficient number, since it is larger than the sum of its proper divisors (12989).

55555 is a wasteful number, since it uses less digits than its factorization.

55555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its digits is 3125, while the sum is 25.

The square root of 55555 is about 235.7010818813. The cubic root of 55555 is about 38.1570142275.

The spelling of 55555 in words is "fifty-five thousand, five hundred fifty-five".