396033 has 12 divisors (see below), whose sum is σ = 580944. Its totient is φ = 239800.

The previous prime is 396031. The next prime is 396041. The reversal of 396033 is 330693.

It is not a de Polignac number, because 396033 - 2¹ = 396031 is a prime.

It is a super-3 number, since 3×396033³ = 186343986233303811, which contains 333 as substring.

It is a Curzon number.

396033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 395994 and 396012.

It is not an unprimeable number, because it can be changed into a prime (396031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2³⁹⁶⁰³³ is an apocalyptic number.

396033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

396033 is a deficient number, since it is larger than the sum of its proper divisors (184911).

396033 is a wasteful number, since it uses less digits than its factorization.

396033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

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

The square root of 396033 is about 629.3115285771. The cubic root of 396033 is about 73.4362444029.

It can be divided in two parts, 3960 and 33, that added together give a palindrome (3993).

The spelling of 396033 in words is "three hundred ninety-six thousand, thirty-three".