33363 has 12 divisors (see below), whose sum is σ = 52728. Its totient is φ = 20160.

The previous prime is 33359. The next prime is 33377. The reversal of 33363 is 36333.

Added to its reverse (36333) it gives a square (69696 = 264²).

It is not a de Polignac number, because 33363 - 2² = 33359 is a prime.

It is a super-2 number, since 2×33363² = 2226179538, which contains 22 as substring.

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

33363 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33343) 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, 70 + ... + 267.

It is an arithmetic number, because the mean of its divisors is an integer number (4394).

2³³³⁶³ is an apocalyptic number.

33363 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

33363 is a deficient number, since it is larger than the sum of its proper divisors (19365).

33363 is a wasteful number, since it uses less digits than its factorization.

33363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its digits is 486, while the sum is 18.

The square root of 33363 is about 182.6554132787. The cubic root of 33363 is about 32.1925242730.

Adding to 33363 its reverse (36333), we get a palindrome (69696).

The spelling of 33363 in words is "thirty-three thousand, three hundred sixty-three".