396333 has 24 divisors (see below), whose sum is σ = 681408. Its totient is φ = 225504.

The previous prime is 396323. The next prime is 396349. The reversal of 396333 is 333693.

It is not a de Polignac number, because 396333 - 2⁵ = 396301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4374) is a multiple of the sum of its prime divisors (243).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 396297 and 396306.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1585 + ... + 1817.

It is an arithmetic number, because the mean of its divisors is an integer number (28392).

2³⁹⁶³³³ is an apocalyptic number.

It is an amenable number.

396333 is a deficient number, since it is larger than the sum of its proper divisors (285075).

396333 is an equidigital number, since it uses as much as digits as its factorization.

396333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 4374, while the sum is 27.

The square root of 396333 is about 629.5498391708. The cubic root of 396333 is about 73.4547826836.

It can be divided in two parts, 396 and 333, that added together give a 6-th power (729 = 3⁶).

The spelling of 396333 in words is "three hundred ninety-six thousand, three hundred thirty-three".