173385 has 12 divisors (see below), whose sum is σ = 300612. Its totient is φ = 92448.

The previous prime is 173359. The next prime is 173429. The reversal of 173385 is 583371.

It can be written as a sum of positive squares in 2 ways, for example, as 131769 + 41616 = 363^2 + 204^2 .

It is not a de Polignac number, because 173385 - 2¹⁵ = 140617 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1882 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (25051).

2¹⁷³³⁸⁵ is an apocalyptic number.

173385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

173385 is a deficient number, since it is larger than the sum of its proper divisors (127227).

173385 is a wasteful number, since it uses less digits than its factorization.

173385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3861 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 173385 is about 416.3952449296. The cubic root of 173385 is about 55.7618500553.

The spelling of 173385 in words is "one hundred seventy-three thousand, three hundred eighty-five".