57385 has 8 divisors (see below), whose sum is σ = 72000. Its totient is φ = 43824.

The previous prime is 57383. The next prime is 57389. The reversal of 57385 is 58375.

57385 = T₁₄₉ + T₁₅₀ + ... + T₁₅₃.

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 57385 - 2¹ = 57383 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57383) 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, 135 + ... + 364.

It is an arithmetic number, because the mean of its divisors is an integer number (9000).

2⁵⁷³⁸⁵ is an apocalyptic number.

It is an amenable number.

57385 is a deficient number, since it is larger than the sum of its proper divisors (14615).

57385 is a wasteful number, since it uses less digits than its factorization.

57385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527.

The product of its digits is 4200, while the sum is 28.

The square root of 57385 is about 239.5516645736. The cubic root of 57385 is about 38.5714644980.

Subtracting 57385 from its reverse (58375), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 57 and 385, that multiplied together give a triangular number (21945 = T₂₀₉).

The spelling of 57385 in words is "fifty-seven thousand, three hundred eighty-five".