55585 has 4 divisors (see below), whose sum is σ = 66708. Its totient is φ = 44464.

The previous prime is 55579. The next prime is 55589. The reversal of 55585 is 58555.

55585 = T₁₉₁ + T₁₉₂ + T₁₉₃.

55585 = 70² + 71² + ... + 79².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 12321 + 43264 = 111^2 + 208^2 .

It is a cyclic number.

It is not a de Polignac number, because 55585 - 2⁷ = 55457 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (55589) by changing a digit.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5554 + ... + 5563.

It is an arithmetic number, because the mean of its divisors is an integer number (16677).

2⁵⁵⁵⁸⁵ is an apocalyptic number.

55585 is the 193-rd centered triangular number.

It is an amenable number.

55585 is a deficient number, since it is larger than the sum of its proper divisors (11123).

55585 is a wasteful number, since it uses less digits than its factorization.

55585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122.

The product of its digits is 5000, while the sum is 28.

The square root of 55585 is about 235.7647132206. The cubic root of 55585 is about 38.1638813229.

The spelling of 55585 in words is "fifty-five thousand, five hundred eighty-five".