56385 has 24 divisors (see below), whose sum is σ = 112320. Its totient is φ = 25632.

The previous prime is 56383. The next prime is 56393. The reversal of 56385 is 58365.

It is not a de Polignac number, because 56385 - 2¹ = 56383 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

56385 is a lucky number.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (56383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (4680).

2⁵⁶³⁸⁵ is an apocalyptic number.

It is an amenable number.

56385 is a deficient number, since it is larger than the sum of its proper divisors (55935).

56385 is a wasteful number, since it uses less digits than its factorization.

56385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 194 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 56385 is about 237.4552589437. The cubic root of 56385 is about 38.3460995077.

It can be divided in two parts, 56 and 385, that added together give a square (441 = 21²).

The spelling of 56385 in words is "fifty-six thousand, three hundred eighty-five".