15385 has 8 divisors (see below), whose sum is σ = 19656. Its totient is φ = 11520.

The previous prime is 15383. The next prime is 15391. The reversal of 15385 is 58351.

15385 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 15129 = 16^2 + 123^2 .

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

It is not a de Polignac number, because 15385 - 2¹ = 15383 is a prime.

It is an Ulam number.

It is a Duffinian number.

15385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (15383) 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 7 ways as a sum of consecutive naturals, for example, 6 + ... + 175.

It is an arithmetic number, because the mean of its divisors is an integer number (2457).

2¹⁵³⁸⁵ is an apocalyptic number.

It is an amenable number.

15385 is a deficient number, since it is larger than the sum of its proper divisors (4271).

15385 is a wasteful number, since it uses less digits than its factorization.

15385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203.

The product of its digits is 600, while the sum is 22.

The square root of 15385 is about 124.0362850137. The cubic root of 15385 is about 24.8713389897.

It can be divided in two parts, 15 and 385, that multiplied together give a palindrome (5775).

The spelling of 15385 in words is "fifteen thousand, three hundred eighty-five".