320133 has 16 divisors (see below), whose sum is σ = 475200. Its totient is φ = 190080.

The previous prime is 320119. The next prime is 320141. The reversal of 320133 is 331023.

It is a happy number.

It is not a de Polignac number, because 320133 - 2⁵ = 320101 is a prime.

It is a Curzon number.

320133 is a lucky number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2883 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2³²⁰¹³³ is an apocalyptic number.

320133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320133 is the 327-th octagonal number.

It is an amenable number.

320133 is a deficient number, since it is larger than the sum of its proper divisors (155067).

320133 is a wasteful number, since it uses less digits than its factorization.

320133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 320133 is about 565.8029692393. The cubic root of 320133 is about 68.4085126712.

Adding to 320133 its reverse (331023), we get a palindrome (651156).

The spelling of 320133 in words is "three hundred twenty thousand, one hundred thirty-three".