393305 has 8 divisors (see below), whose sum is σ = 514944. Its totient is φ = 286000.

The previous prime is 393301. The next prime is 393311. The reversal of 393305 is 503393.

It is a happy number.

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

It is not a de Polignac number, because 393305 - 2² = 393301 is a prime.

It is an Ulam number.

It is a Duffinian number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3521 + ... + 3630.

It is an arithmetic number, because the mean of its divisors is an integer number (64368).

2³⁹³³⁰⁵ is an apocalyptic number.

It is an amenable number.

393305 is a deficient number, since it is larger than the sum of its proper divisors (121639).

393305 is a wasteful number, since it uses less digits than its factorization.

393305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167.

The product of its (nonzero) digits is 1215, while the sum is 23.

The square root of 393305 is about 627.1403351723. The cubic root of 393305 is about 73.2672384267.

Adding to 393305 its reverse (503393), we get a palindrome (896698).

The spelling of 393305 in words is "three hundred ninety-three thousand, three hundred five".