123332033 has 6 divisors (see below), whose sum is σ = 135563442. Its totient is φ = 112119920.

The previous prime is 123331993. The next prime is 123332087. The reversal of 123332033 is 330233321.

It can be written as a sum of positive squares in only one way, i.e., 69338929 + 53993104 = 8327^2 + 7348^2 .

It is not a de Polignac number, because 123332033 - 2⁶ = 123331969 is a prime.

It is a super-3 number, since 3×123332033³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123331996 and 123332014.

It is not an unprimeable number, because it can be changed into a prime (123332333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509516 + ... + 509757.

It is an arithmetic number, because the mean of its divisors is an integer number (22593907).

Almost surely, 2^123332033 is an apocalyptic number.

It is an amenable number.

123332033 is a deficient number, since it is larger than the sum of its proper divisors (12231409).

123332033 is a wasteful number, since it uses less digits than its factorization.

123332033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019295 (or 1019284 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 123332033 is about 11105.4956215380. The cubic root of 123332033 is about 497.7660780497.

Adding to 123332033 its reverse (330233321), we get a palindrome (453565354).

The spelling of 123332033 in words is "one hundred twenty-three million, three hundred thirty-two thousand, thirty-three".