172089 has 6 divisors (see below), whose sum is σ = 248586. Its totient is φ = 114720.

The previous prime is 172079. The next prime is 172093. The reversal of 172089 is 980271.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 5625 = 408^2 + 75^2 .

It is not a de Polignac number, because 172089 - 2¹⁷ = 41017 is a prime.

It is a super-2 number, since 2×172089² = 59229247842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (172009) 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 5 ways as a sum of consecutive naturals, for example, 9552 + ... + 9569.

It is an arithmetic number, because the mean of its divisors is an integer number (41431).

2¹⁷²⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

172089 is a deficient number, since it is larger than the sum of its proper divisors (76497).

172089 is a wasteful number, since it uses less digits than its factorization.

172089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 172089 is about 414.8361122178. The cubic root of 172089 is about 55.6225681721.

The spelling of 172089 in words is "one hundred seventy-two thousand, eighty-nine".