172827 has 16 divisors (see below), whose sum is σ = 264480. Its totient is φ = 111456.

The previous prime is 172807. The next prime is 172829. The reversal of 172827 is 728271.

172827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 172827 - 2¹⁰ = 171803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 172827.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172827.

It is not an unprimeable number, because it can be changed into a prime (172829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913 + ... + 1085.

It is an arithmetic number, because the mean of its divisors is an integer number (16530).

2¹⁷²⁸²⁷ is an apocalyptic number.

172827 is a deficient number, since it is larger than the sum of its proper divisors (91653).

172827 is a wasteful number, since it uses less digits than its factorization.

172827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 172827 is about 415.7246685007. The cubic root of 172827 is about 55.7019668453.

It can be divided in two parts, 1728 and 27, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 172827 in words is "one hundred seventy-two thousand, eight hundred twenty-seven".