57585 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 27840.

The previous prime is 57571. The next prime is 57587. The reversal of 57585 is 58575.

It is a happy number.

57585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57585 - 2⁷ = 57457 is a prime.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10 + ... + 339.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁵⁷⁵⁸⁵ is an apocalyptic number.

57585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57585 is a deficient number, since it is larger than the sum of its proper divisors (43215).

57585 is a wasteful number, since it uses less digits than its factorization.

57585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368.

The product of its digits is 7000, while the sum is 30.

The square root of 57585 is about 239.9687479652. The cubic root of 57585 is about 38.6162226995.

Subtracting 57585 from its reverse (58575), we obtain a triangular number (990 = T₄₄).

The spelling of 57585 in words is "fifty-seven thousand, five hundred eighty-five".