123322033 has 2 divisors, whose sum is σ = 123322034. Its totient is φ = 123322032.

The previous prime is 123321983. The next prime is 123322037. The reversal of 123322033 is 330223321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111260304 + 12061729 = 10548^2 + 3473^2 .

It is a cyclic number.

It is not a de Polignac number, because 123322033 - 2¹⁷ = 123190961 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123322033.

It is not a weakly prime, because it can be changed into another prime (123322037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61661016 + 61661017.

It is an arithmetic number, because the mean of its divisors is an integer number (61661017).

Almost surely, 2^123322033 is an apocalyptic number.

It is an amenable number.

123322033 is a deficient number, since it is larger than the sum of its proper divisors (1).

123322033 is an equidigital number, since it uses as much as digits as its factorization.

123322033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 123322033 is about 11105.0453848690. The cubic root of 123322033 is about 497.7526244070.

Adding to 123322033 its reverse (330223321), we get a palindrome (453545354).

It can be divided in two parts, 12332 and 2033, that added together give a triangular number (14365 = T₁₆₉).

The spelling of 123322033 in words is "one hundred twenty-three million, three hundred twenty-two thousand, thirty-three".