172833 has 8 divisors (see below), whose sum is σ = 235008. Its totient is φ = 112944.

The previous prime is 172829. The next prime is 172849. The reversal of 172833 is 338271.

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

It is not a de Polignac number, because 172833 - 2² = 172829 is a prime.

It is an Ulam number.

172833 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (172853) 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, 385 + ... + 702.

It is an arithmetic number, because the mean of its divisors is an integer number (29376).

2¹⁷²⁸³³ is an apocalyptic number.

It is an amenable number.

172833 is a deficient number, since it is larger than the sum of its proper divisors (62175).

172833 is a wasteful number, since it uses less digits than its factorization.

172833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its digits is 1008, while the sum is 24.

The square root of 172833 is about 415.7318847527. The cubic root of 172833 is about 55.7026114358.

It can be divided in two parts, 17 and 2833, that added together give a triangular number (2850 = T₇₅).

The spelling of 172833 in words is "one hundred seventy-two thousand, eight hundred thirty-three".