327117 has 16 divisors (see below), whose sum is σ = 513152. Its totient is φ = 181440.

The previous prime is 327079. The next prime is 327127. The reversal of 327117 is 711723.

327117 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 327117 - 2¹⁴ = 310733 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 3¹⁰ + 2¹⁵ + 1 + 7⁶ + 1 + 7⁶ .

It is a Duffinian number.

327117 is strictly pandigital in base 7.

327117 is a lucky number.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 327093 and 327102.

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 327117.

It is not an unprimeable number, because it can be changed into a prime (327127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (32072).

2³²⁷¹¹⁷ is an apocalyptic number.

327117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

327117 is a deficient number, since it is larger than the sum of its proper divisors (186035).

327117 is a wasteful number, since it uses less digits than its factorization.

327117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468.

The product of its digits is 294, while the sum is 21.

The square root of 327117 is about 571.9414305679. The cubic root of 327117 is about 68.9024035034.

It can be divided in two parts, 327 and 117, that added together give a palindrome (444).

The spelling of 327117 in words is "three hundred twenty-seven thousand, one hundred seventeen", and thus it is an iban number.