172306 has 8 divisors (see below), whose sum is σ = 261324. Its totient is φ = 85200.

The previous prime is 172297. The next prime is 172307. The reversal of 172306 is 603271.

It can be written as a sum of positive squares in 2 ways, for example, as 172225 + 81 = 415^2 + 9^2 .

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

It is not an unprimeable number, because it can be changed into a prime (172307) by changing a digit.

172306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225 + ... + 628.

2¹⁷²³⁰⁶ is an apocalyptic number.

172306 is a deficient number, since it is larger than the sum of its proper divisors (89018).

172306 is a wasteful number, since it uses less digits than its factorization.

172306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 172306 is about 415.0975788896. The cubic root of 172306 is about 55.6459379158.

Adding to 172306 its reverse (603271), we get a palindrome (775577).

The spelling of 172306 in words is "one hundred seventy-two thousand, three hundred six".