3393 has 12 divisors (see below), whose sum is σ = 5460. Its totient is φ = 2016.

The previous prime is 3391. The next prime is 3407. The reversal of 3393 is 3933.

It can be written as a sum of positive squares in 2 ways, for example, as 1089 + 2304 = 33^2 + 48^2 .

It is not a de Polignac number, because 3393 - 2¹ = 3391 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (3391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 131.

It is an arithmetic number, because the mean of its divisors is an integer number (455).

It is a Proth number, since it is equal to 53 ⋅ 2⁶ + 1 and 53 < 2⁶.

2³³⁹³ is an apocalyptic number.

It is an amenable number.

3393 is a deficient number, since it is larger than the sum of its proper divisors (2067).

3393 is a wasteful number, since it uses less digits than its factorization.

3393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 45 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 3393 is about 58.2494635168. The cubic root of 3393 is about 15.0266193992.

Subtracting from 3393 its sum of digits (18), we obtain a cube (3375 = 15³).

The spelling of 3393 in words is "three thousand, three hundred ninety-three".