396321 has 16 divisors (see below), whose sum is σ = 590400. Its totient is φ = 235008.

The previous prime is 396311. The next prime is 396323. The reversal of 396321 is 123693.

396321 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 396321 - 2¹⁷ = 265249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 396291 and 396300.

It is not an unprimeable number, because it can be changed into a prime (396323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (36900).

2³⁹⁶³²¹ is an apocalyptic number.

It is an amenable number.

396321 is a deficient number, since it is larger than the sum of its proper divisors (194079).

396321 is a wasteful number, since it uses less digits than its factorization.

396321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448.

The product of its digits is 972, while the sum is 24.

The square root of 396321 is about 629.5403084791. The cubic root of 396321 is about 73.4540413320.

It can be divided in two parts, 396 and 321, that added together give a palindrome (717).

The spelling of 396321 in words is "three hundred ninety-six thousand, three hundred twenty-one".