393313 has 8 divisors (see below), whose sum is σ = 412776. Its totient is φ = 374400.

The previous prime is 393311. The next prime is 393331. The reversal of 393313 is 313393.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 388129 = 72^2 + 623^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 393313 - 2¹ = 393311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (393311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2083 + ... + 2263.

It is an arithmetic number, because the mean of its divisors is an integer number (51597).

2³⁹³³¹³ is an apocalyptic number.

It is an amenable number.

393313 is a deficient number, since it is larger than the sum of its proper divisors (19463).

393313 is a wasteful number, since it uses less digits than its factorization.

393313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275.

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

The square root of 393313 is about 627.1467132976. The cubic root of 393313 is about 73.2677351862.

The spelling of 393313 in words is "three hundred ninety-three thousand, three hundred thirteen".