172385 has 8 divisors (see below), whose sum is σ = 216000. Its totient is φ = 131824.

The previous prime is 172373. The next prime is 172399. The reversal of 172385 is 583271.

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

It is a cyclic number.

It is not a de Polignac number, because 172385 - 2⁶ = 172321 is a prime.

It is an unprimeable number.

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, 635 + ... + 864.

It is an arithmetic number, because the mean of its divisors is an integer number (27000).

2¹⁷²³⁸⁵ is an apocalyptic number.

It is an amenable number.

172385 is a deficient number, since it is larger than the sum of its proper divisors (43615).

172385 is a wasteful number, since it uses less digits than its factorization.

172385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527.

The product of its digits is 1680, while the sum is 26.

The square root of 172385 is about 415.1927263332. The cubic root of 172385 is about 55.6544409229.

The spelling of 172385 in words is "one hundred seventy-two thousand, three hundred eighty-five".