55905 has 8 divisors (see below), whose sum is σ = 89472. Its totient is φ = 29808.

The previous prime is 55903. The next prime is 55921. The reversal of 55905 is 50955.

55905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 55905 - 2¹ = 55903 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (55901) 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, 1849 + ... + 1878.

It is an arithmetic number, because the mean of its divisors is an integer number (11184).

2⁵⁵⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

55905 is a deficient number, since it is larger than the sum of its proper divisors (33567).

55905 is a wasteful number, since it uses less digits than its factorization.

55905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3735.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 55905 is about 236.4423819877. The cubic root of 55905 is about 38.2369770694.

Subtracting from 55905 its reverse (50955), we obtain a triangular number (4950 = T₉₉).

The spelling of 55905 in words is "fifty-five thousand, nine hundred five".