3363 has 8 divisors (see below), whose sum is σ = 4800. Its totient is φ = 2088.

The previous prime is 3361. The next prime is 3371. The reversal of 3363 is 3633.

3363 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 58^{2}-1.

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

It is not a de Polignac number, because 3363 - 2^{1} = 3361 is a prime.

It is a super-2 number, since 2×3363^{2} = 22619538, which contains 22 as substring.

Its product of digits (162) is a multiple of the sum of its prime divisors (81).

3363 is a lucky number.

It is a plaindrome in base 11.

It is a nialpdrome in base 8 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3361) 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, 28 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

2^{3363} is an apocalyptic number.

3363 is a deficient number, since it is larger than the sum of its proper divisors (1437).

3363 is a wasteful number, since it uses less digits than its factorization.

3363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81.

The product of its digits is 162, while the sum is 15.

The square root of 3363 is about 57.9913786696. The cubic root of 3363 is about 14.9822011105.

Adding to 3363 its reverse (3633), we get a palindrome (6996).

It can be divided in two parts, 3 and 363, that multiplied together give a square (1089 = 33^{2}).

The spelling of 3363 in words is "three thousand, three hundred sixty-three".

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