66833 has 8 divisors (see below), whose sum is σ = 74088. Its totient is φ = 59904.

The previous prime is 66821. The next prime is 66841. The reversal of 66833 is 33866.

It can be written as a sum of positive squares in 4 ways, for example, as 5329 + 61504 = 73^2 + 248^2 .

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

It is not a de Polignac number, because 66833 - 2¹⁰ = 65809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2⁶⁶⁸³³ is an apocalyptic number.

It is an amenable number.

66833 is a deficient number, since it is larger than the sum of its proper divisors (7255).

66833 is a wasteful number, since it uses less digits than its factorization.

66833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 2592, while the sum is 26.

The square root of 66833 is about 258.5207922006. The cubic root of 66833 is about 40.5817077279.

The spelling of 66833 in words is "sixty-six thousand, eight hundred thirty-three".