327645 has 20 divisors (see below), whose sum is σ = 588060. Its totient is φ = 174528.

The previous prime is 327629. The next prime is 327647. The reversal of 327645 is 546723.

It is a happy number.

327645 is a nontrivial binomial coefficient, being equal to C(810, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 210681 + 116964 = 459^2 + 342^2 .

It is not a de Polignac number, because 327645 - 2⁴ = 327629 is a prime.

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

It is a d-powerful number, because it can be written as 3⁶ + 2¹⁷ + 6 + 7⁶ + 4³ + 5⁷ .

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 327645.

It is not an unprimeable number, because it can be changed into a prime (327647) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (29403).

327645 is a Friedman number, since it can be written as ((2^3)^6/4-7)*5, using all its digits and the basic arithmetic operations.

2³²⁷⁶⁴⁵ is an apocalyptic number.

327645 is the 809-th triangular number and also the 405-th hexagonal number.

It is an amenable number.

327645 is a deficient number, since it is larger than the sum of its proper divisors (260415).

327645 is an equidigital number, since it uses as much as digits as its factorization.

327645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 817 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 327645 is about 572.4028301817. The cubic root of 327645 is about 68.9394553968.

It can be divided in two parts, 3276 and 45, that added together give a triangular number (3321 = T₈₁).

The spelling of 327645 in words is "three hundred twenty-seven thousand, six hundred forty-five".