172806 has 16 divisors (see below), whose sum is σ = 350784. Its totient is φ = 56744.

The previous prime is 172801. The next prime is 172807. The reversal of 172806 is 608271.

172806 = 51² + 52² + ... + 86².

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172801) by changing a digit.

172806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 325 + ... + 671.

It is an arithmetic number, because the mean of its divisors is an integer number (21924).

2¹⁷²⁸⁰⁶ is an apocalyptic number.

172806 is an abundant number, since it is smaller than the sum of its proper divisors (177978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

172806 is a wasteful number, since it uses less digits than its factorization.

172806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 172806 is about 415.6994106322. The cubic root of 172806 is about 55.6997106610.

The spelling of 172806 in words is "one hundred seventy-two thousand, eight hundred six".