320193 has 20 divisors (see below), whose sum is σ = 493680. Its totient is φ = 206712.

The previous prime is 320179. The next prime is 320209. The reversal of 320193 is 391023.

It is not a de Polignac number, because 320193 - 2⁸ = 319937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320113) 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, 4746 + ... + 4812.

It is an arithmetic number, because the mean of its divisors is an integer number (24684).

2³²⁰¹⁹³ is an apocalyptic number.

It is an amenable number.

320193 is a deficient number, since it is larger than the sum of its proper divisors (173487).

320193 is an equidigital number, since it uses as much as digits as its factorization.

320193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 320193 is about 565.8559887463. The cubic root of 320193 is about 68.4127861600.

The spelling of 320193 in words is "three hundred twenty thousand, one hundred ninety-three".