10833 has 8 divisors (see below), whose sum is σ = 15168. Its totient is φ = 6864.

The previous prime is 10831. The next prime is 10837. The reversal of 10833 is 33801.

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

It is not a de Polignac number, because 10833 - 2¹ = 10831 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (10831) 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, 10 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (1896).

2¹⁰⁸³³ is an apocalyptic number.

It is an amenable number.

10833 is a deficient number, since it is larger than the sum of its proper divisors (4335).

10833 is a wasteful number, since it uses less digits than its factorization.

10833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10833 is about 104.0816986795. The cubic root of 10833 is about 22.1266796261.

It can be divided in two parts, 1083 and 3, that multiplied together give a square (3249 = 57²).

The spelling of 10833 in words is "ten thousand, eight hundred thirty-three".