57805 has 8 divisors (see below), whose sum is σ = 75744. Its totient is φ = 42000.

The previous prime is 57803. The next prime is 57809. The reversal of 57805 is 50875.

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

It is not a de Polignac number, because 57805 - 2¹ = 57803 is a prime.

It is a Duffinian number.

57805 is a lucky number.

It is a nialpdrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 57805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57803) 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, 471 + ... + 580.

It is an arithmetic number, because the mean of its divisors is an integer number (9468).

2⁵⁷⁸⁰⁵ is an apocalyptic number.

57805 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57805 is a deficient number, since it is larger than the sum of its proper divisors (17939).

57805 is a wasteful number, since it uses less digits than its factorization.

57805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 57805 is about 240.4267040077. The cubic root of 57805 is about 38.6653371851.

It can be divided in two parts, 5780 and 5, that multiplied together give a square (28900 = 170²).

The spelling of 57805 in words is "fifty-seven thousand, eight hundred five".