122735633 has 2 divisors, whose sum is σ = 122735634. Its totient is φ = 122735632.

The previous prime is 122735593. The next prime is 122735663. The reversal of 122735633 is 336537221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122058304 + 677329 = 11048^2 + 823^2 .

It is a cyclic number.

It is not a de Polignac number, because 122735633 - 2¹⁴ = 122719249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122735633.

It is not a weakly prime, because it can be changed into another prime (122735663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61367816 + 61367817.

It is an arithmetic number, because the mean of its divisors is an integer number (61367817).

Almost surely, 2^122735633 is an apocalyptic number.

It is an amenable number.

122735633 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735633 is an equidigital number, since it uses as much as digits as its factorization.

122735633 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 32.

The square root of 122735633 is about 11078.6115104737. The cubic root of 122735633 is about 496.9624276784.

The spelling of 122735633 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, six hundred thirty-three".