393321 has 8 divisors (see below), whose sum is σ = 536800. Its totient is φ = 256032.

The previous prime is 393311. The next prime is 393331. The reversal of 393321 is 123393.

It is an interprime number because it is at equal distance from previous prime (393311) and next prime (393331).

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

It is not a de Polignac number, because 393321 - 2⁶ = 393257 is a prime.

It is a Duffinian number.

393321 is a lucky 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, 1396 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (67100).

2³⁹³³²¹ is an apocalyptic number.

It is an amenable number.

393321 is a deficient number, since it is larger than the sum of its proper divisors (143479).

393321 is a wasteful number, since it uses less digits than its factorization.

393321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095.

The product of its digits is 486, while the sum is 21.

The square root of 393321 is about 627.1530913581. The cubic root of 393321 is about 73.2682319389.

The spelling of 393321 in words is "three hundred ninety-three thousand, three hundred twenty-one".