55305 has 12 divisors (see below), whose sum is σ = 95940. Its totient is φ = 29472.

The previous prime is 55291. The next prime is 55313. The reversal of 55305 is 50355.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 13689 = 204^2 + 117^2 .

It is not a de Polignac number, because 55305 - 2⁸ = 55049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 659.

It is an arithmetic number, because the mean of its divisors is an integer number (7995).

2⁵⁵³⁰⁵ is an apocalyptic number.

It is an amenable number.

55305 is a deficient number, since it is larger than the sum of its proper divisors (40635).

55305 is a wasteful number, since it uses less digits than its factorization.

55305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 55305 is about 235.1701511672. The cubic root of 55305 is about 38.0996920636.

Subtracting from 55305 its reverse (50355), we obtain a triangular number (4950 = T₉₉).

The spelling of 55305 in words is "fifty-five thousand, three hundred five".