172284 has 36 divisors (see below), whose sum is σ = 469224. Its totient is φ = 49056.

The previous prime is 172283. The next prime is 172297. The reversal of 172284 is 482271.

172284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 172284.

It is not an unprimeable number, because it can be changed into a prime (172283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (13034).

2¹⁷²²⁸⁴ is an apocalyptic number.

172284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234612).

172284 is an abundant number, since it is smaller than the sum of its proper divisors (296940).

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

172284 is a wasteful number, since it uses less digits than its factorization.

172284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 172284 is about 415.0710782505. The cubic root of 172284 is about 55.6435695271.

The spelling of 172284 in words is "one hundred seventy-two thousand, two hundred eighty-four".