55705 has 8 divisors (see below), whose sum is σ = 72072. Its totient is φ = 41088.

The previous prime is 55697. The next prime is 55711. The reversal of 55705 is 50755.

55705 = T₈₆ + T₈₇ + ... + T₉₈.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 47961 = 88^2 + 219^2 .

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 55705 - 2³ = 55697 is a prime.

55705 is a lucky number.

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁵⁵⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

55705 is a deficient number, since it is larger than the sum of its proper divisors (16367).

55705 is a wasteful number, since it uses less digits than its factorization.

55705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 875, while the sum is 22.

The square root of 55705 is about 236.0190670264. The cubic root of 55705 is about 38.1913250222.

Subtracting from 55705 its reverse (50755), we obtain a triangular number (4950 = T₉₉).

The spelling of 55705 in words is "fifty-five thousand, seven hundred five".