328973 has 4 divisors (see below), whose sum is σ = 334428. Its totient is φ = 323520.

The previous prime is 328961. The next prime is 328981. The reversal of 328973 is 379823.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 379823 = 67 ⋅5669.

It can be written as a sum of positive squares in 2 ways, for example, as 158404 + 170569 = 398^2 + 413^2 .

It is a cyclic number.

It is not a de Polignac number, because 328973 - 2¹⁴ = 312589 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 328973.

It is not an unprimeable number, because it can be changed into a prime (328373) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2636 + ... + 2757.

It is an arithmetic number, because the mean of its divisors is an integer number (83607).

2³²⁸⁹⁷³ is an apocalyptic number.

It is an amenable number.

328973 is a deficient number, since it is larger than the sum of its proper divisors (5455).

328973 is an equidigital number, since it uses as much as digits as its factorization.

328973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454.

The product of its digits is 9072, while the sum is 32.

The square root of 328973 is about 573.5616793336. The cubic root of 328973 is about 69.0324708894.

The spelling of 328973 in words is "three hundred twenty-eight thousand, nine hundred seventy-three".