393813 has 36 divisors (see below), whose sum is σ = 711360. Its totient is φ = 208656.

The previous prime is 393797. The next prime is 393847. The reversal of 393813 is 318393.

It is not a de Polignac number, because 393813 - 2⁴ = 393797 is a prime.

It is an Ulam number.

393813 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8356 + ... + 8402.

It is an arithmetic number, because the mean of its divisors is an integer number (19760).

2³⁹³⁸¹³ is an apocalyptic number.

It is an amenable number.

393813 is a deficient number, since it is larger than the sum of its proper divisors (317547).

393813 is a wasteful number, since it uses less digits than its factorization.

393813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 393813 is about 627.5452174943. The cubic root of 393813 is about 73.2987692947.

The spelling of 393813 in words is "three hundred ninety-three thousand, eight hundred thirteen".