172005 has 8 divisors (see below), whose sum is σ = 275232. Its totient is φ = 91728.

The previous prime is 172001. The next prime is 172009. The reversal of 172005 is 500271.

It is a happy number.

172005 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (172001) and next prime (172009).

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

It is not a de Polignac number, because 172005 - 2² = 172001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 11467 = 172005 / (1 + 7 + 2 + 0 + 0 + 5).

172005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5719 + ... + 5748.

It is an arithmetic number, because the mean of its divisors is an integer number (34404).

2¹⁷²⁰⁰⁵ is an apocalyptic number.

172005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

172005 is a deficient number, since it is larger than the sum of its proper divisors (103227).

172005 is a wasteful number, since it uses less digits than its factorization.

172005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11475.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 172005 is about 414.7348550580. The cubic root of 172005 is about 55.6135165454.

Adding to 172005 its reverse (500271), we get a palindrome (672276).

It can be divided in two parts, 17200 and 5, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 172005 in words is "one hundred seventy-two thousand, five".