17385 has 16 divisors (see below), whose sum is σ = 29760. Its totient is φ = 8640.

The previous prime is 17383. The next prime is 17387. The reversal of 17385 is 58371.

17385 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (17383) and next prime (17387).

It is not a de Polignac number, because 17385 - 2¹ = 17383 is a prime.

It is not an unprimeable number, because it can be changed into a prime (17383) 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, 255 + ... + 315.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2¹⁷³⁸⁵ is an apocalyptic number.

17385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

17385 is a deficient number, since it is larger than the sum of its proper divisors (12375).

17385 is a wasteful number, since it uses less digits than its factorization.

17385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its digits is 840, while the sum is 24.

The square root of 17385 is about 131.8521899704. The cubic root of 17385 is about 25.9054753062.

Adding to 17385 its product of digits (840), we get a square (18225 = 135²).

The spelling of 17385 in words is "seventeen thousand, three hundred eighty-five".