393306 has 8 divisors (see below), whose sum is σ = 786624. Its totient is φ = 131100.

The previous prime is 393301. The next prime is 393311. The reversal of 393306 is 603393.

It is an interprime number because it is at equal distance from previous prime (393301) and next prime (393311).

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

393306 is an admirable number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (393301) by changing a digit.

393306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32770 + ... + 32781.

It is an arithmetic number, because the mean of its divisors is an integer number (98328).

2³⁹³³⁰⁶ is an apocalyptic number.

393306 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393306 is a wasteful number, since it uses less digits than its factorization.

393306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65556.

The product of its (nonzero) digits is 1458, while the sum is 24.

The square root of 393306 is about 627.1411324415. The cubic root of 393306 is about 73.2673005220.

Adding to 393306 its reverse (603393), we get a palindrome (996699).

The spelling of 393306 in words is "three hundred ninety-three thousand, three hundred six".