268333 has 4 divisors (see below), whose sum is σ = 288988. Its totient is φ = 247680.

The previous prime is 268297. The next prime is 268343. The reversal of 268333 is 333862.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 333862 = 2 ⋅166931.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 227529 = 202^2 + 477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-268333 is a prime.

It is a Duffinian number.

268333 is a modest number, since divided by 333 gives 268 as remainder.

268333 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 268298 and 268307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10308 + ... + 10333.

It is an arithmetic number, because the mean of its divisors is an integer number (72247).

268333 is a Friedman number, since it can be written as (8^3+6)^2+3*3, using all its digits and the basic arithmetic operations.

2²⁶⁸³³³ is an apocalyptic number.

It is an amenable number.

268333 is a deficient number, since it is larger than the sum of its proper divisors (20655).

268333 is a wasteful number, since it uses less digits than its factorization.

268333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20654.

The product of its digits is 2592, while the sum is 25.

The square root of 268333 is about 518.0086871858. The cubic root of 268333 is about 64.4997496134.

The spelling of 268333 in words is "two hundred sixty-eight thousand, three hundred thirty-three".