57705 has 8 divisors (see below), whose sum is σ = 92352. Its totient is φ = 30768.

The previous prime is 57697. The next prime is 57709. The reversal of 57705 is 50775.

57705 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 57705 - 2³ = 57697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57709) 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, 1909 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (11544).

2⁵⁷⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

57705 is a deficient number, since it is larger than the sum of its proper divisors (34647).

57705 is a wasteful number, since it uses less digits than its factorization.

57705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 1225, while the sum is 24.

The square root of 57705 is about 240.2186504000. The cubic root of 57705 is about 38.6430278952.

It can be divided in two parts, 5770 and 5, that added together give a palindrome (5775).

The spelling of 57705 in words is "fifty-seven thousand, seven hundred five".