172959 has 4 divisors (see below), whose sum is σ = 230616. Its totient is φ = 115304.

The previous prime is 172933. The next prime is 172969. The reversal of 172959 is 959271.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 959271 = 3 ⋅319757.

It is a cyclic number.

It is not a de Polignac number, because 172959 - 2¹² = 168863 is a prime.

It is a D-number.

172959 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28824 + ... + 28829.

It is an arithmetic number, because the mean of its divisors is an integer number (57654).

2¹⁷²⁹⁵⁹ is an apocalyptic number.

172959 is a deficient number, since it is larger than the sum of its proper divisors (57657).

172959 is an equidigital number, since it uses as much as digits as its factorization.

172959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57656.

The product of its digits is 5670, while the sum is 33.

The square root of 172959 is about 415.8833971199. The cubic root of 172959 is about 55.7161443918.

The spelling of 172959 in words is "one hundred seventy-two thousand, nine hundred fifty-nine".