268033 has 4 divisors (see below), whose sum is σ = 282160. Its totient is φ = 253908.

The previous prime is 268013. The next prime is 268043. The reversal of 268033 is 330862.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 268033 - 2⁹ = 267521 is a prime.

It is a Duffinian number.

268033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 267995 and 268013.

It is not an unprimeable number, because it can be changed into a prime (268003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7035 + ... + 7072.

It is an arithmetic number, because the mean of its divisors is an integer number (70540).

2²⁶⁸⁰³³ is an apocalyptic number.

It is an amenable number.

268033 is a deficient number, since it is larger than the sum of its proper divisors (14127).

268033 is a wasteful number, since it uses less digits than its factorization.

268033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 268033 is about 517.7190357713. The cubic root of 268033 is about 64.4757034463.

Adding to 268033 its reverse (330862), we get a palindrome (598895).

The spelling of 268033 in words is "two hundred sixty-eight thousand, thirty-three".