123333 has 12 divisors (see below), whose sum is σ = 191520. Its totient is φ = 70392.

The previous prime is 123323. The next prime is 123341. The reversal of 123333 is 333321.

It is not a de Polignac number, because 123333 - 2⁶ = 123269 is a prime.

It is a super-2 number, since 2×123333² = 30422057778, which contains 22 as substring.

123333 is a modest number, since divided by 333 gives 123 as remainder.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹²³³³³ is an apocalyptic number.

It is an amenable number.

123333 is a deficient number, since it is larger than the sum of its proper divisors (68187).

123333 is an equidigital number, since it uses as much as digits as its factorization.

123333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 849 counting only the distinct ones).

The product of its digits is 162, while the sum is 15.

The square root of 123333 is about 351.1879838491. The cubic root of 123333 is about 49.7767378978.

Adding to 123333 its reverse (333321), we get a palindrome (456654).

The spelling of 123333 in words is "one hundred twenty-three thousand, three hundred thirty-three".