393133 has 4 divisors (see below), whose sum is σ = 423388. Its totient is φ = 362880.

The previous prime is 393121. The next prime is 393137. The reversal of 393133 is 331393.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331393 = 283 ⋅1171.

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 334084 = 243^2 + 578^2 .

It is a cyclic number.

It is not a de Polignac number, because 393133 - 2¹³ = 384941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393137) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15108 + ... + 15133.

It is an arithmetic number, because the mean of its divisors is an integer number (105847).

2³⁹³¹³³ is an apocalyptic number.

It is an amenable number.

393133 is a deficient number, since it is larger than the sum of its proper divisors (30255).

393133 is a wasteful number, since it uses less digits than its factorization.

393133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30254.

The product of its digits is 729, while the sum is 22.

The square root of 393133 is about 627.0031897845. The cubic root of 393133 is about 73.2565564687.

The spelling of 393133 in words is "three hundred ninety-three thousand, one hundred thirty-three".