36333 has 12 divisors (see below), whose sum is σ = 57408. Its totient is φ = 21960.

The previous prime is 36319. The next prime is 36341. The reversal of 36333 is 33363.

Added to its reverse (33363) it gives a square (69696 = 264²).

It is not a de Polignac number, because 36333 - 2⁶ = 36269 is a prime.

It is an Ulam number.

36333 is a modest number, since divided by 333 gives 36 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36313) 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, 85 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (4784).

2³⁶³³³ is an apocalyptic number.

36333 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

36333 is a deficient number, since it is larger than the sum of its proper divisors (21075).

36333 is a wasteful number, since it uses less digits than its factorization.

36333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 381 counting only the distinct ones).

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

The square root of 36333 is about 190.6121716995. The cubic root of 36333 is about 33.1207696033.

Subtracting from 36333 its sum of digits (18), we obtain a triangular number (36315 = T₂₆₉).

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

It can be divided in two parts, 3 and 6333, that added together give a palindrome (6336).

The spelling of 36333 in words is "thirty-six thousand, three hundred thirty-three".