320973 has 8 divisors (see below), whose sum is σ = 432768. Its totient is φ = 211584.

The previous prime is 320953. The next prime is 321007. The reversal of 320973 is 379023.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 320973 - 2⁵ = 320941 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 320973.

It is not an unprimeable number, because it can be changed into a prime (320923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (54096).

2³²⁰⁹⁷³ is an apocalyptic number.

It is an amenable number.

320973 is a deficient number, since it is larger than the sum of its proper divisors (111795).

320973 is a wasteful number, since it uses less digits than its factorization.

320973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 320973 is about 566.5447908153. The cubic root of 320973 is about 68.4682929963.

Adding to 320973 its reverse (379023), we get a palindrome (699996).

The spelling of 320973 in words is "three hundred twenty thousand, nine hundred seventy-three".