13233 has 8 divisors (see below), whose sum is σ = 19296. Its totient is φ = 8000.

The previous prime is 13229. The next prime is 13241. The reversal of 13233 is 33231.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13233 - 2² = 13229 is a prime.

It is a super-2 number, since 2×13233² = 350224578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13033) 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, 168 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (2412).

2¹³²³³ is an apocalyptic number.

It is an amenable number.

13233 is a deficient number, since it is larger than the sum of its proper divisors (6063).

13233 is a wasteful number, since it uses less digits than its factorization.

13233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its digits is 54, while the sum is 12.

The square root of 13233 is about 115.0347773502. The cubic root of 13233 is about 23.6529930493.

Adding to 13233 its reverse (33231), we get a palindrome (46464).

It can be divided in two parts, 1323 and 3, that multiplied together give a square (3969 = 63²).

The spelling of 13233 in words is "thirteen thousand, two hundred thirty-three".