172289 has 8 divisors (see below), whose sum is σ = 192360. Its totient is φ = 153216.

The previous prime is 172283. The next prime is 172297. The reversal of 172289 is 982271.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27889 + 144400 = 167^2 + 380^2 .

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 172289 - 2¹² = 168193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (24045).

2¹⁷²²⁸⁹ is an apocalyptic number.

It is an amenable number.

172289 is a deficient number, since it is larger than the sum of its proper divisors (20071).

172289 is a wasteful number, since it uses less digits than its factorization.

172289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 2016, while the sum is 29.

The square root of 172289 is about 415.0771012716. The cubic root of 172289 is about 55.6441078150.

The spelling of 172289 in words is "one hundred seventy-two thousand, two hundred eighty-nine".