32385 has 16 divisors (see below), whose sum is σ = 55296. Its totient is φ = 16128.

The previous prime is 32381. The next prime is 32401. The reversal of 32385 is 58323.

32385 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

32385 is a nontrivial binomial coefficient, being equal to C(255, 2).

It is not a de Polignac number, because 32385 - 2² = 32381 is a prime.

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

32385 is a lucky number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32385.

It is not an unprimeable number, because it can be changed into a prime (32381) 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, 192 + ... + 318.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

2³²³⁸⁵ is an apocalyptic number.

32385 is the 254-th triangular number.

It is an amenable number.

32385 is a deficient number, since it is larger than the sum of its proper divisors (22911).

32385 is a wasteful number, since it uses less digits than its factorization.

32385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152.

The product of its digits is 720, while the sum is 21.

The square root of 32385 is about 179.9583285097. The cubic root of 32385 is about 31.8748366005.

The spelling of 32385 in words is "thirty-two thousand, three hundred eighty-five".