122735033 has 2 divisors, whose sum is σ = 122735034. Its totient is φ = 122735032.

The previous prime is 122735027. The next prime is 122735083. The reversal of 122735033 is 330537221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63552784 + 59182249 = 7972^2 + 7693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122735033 is a prime.

It is a super-2 number, since 2×122735033² = 30127776651022178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122734993 and 122735011.

It is not a weakly prime, because it can be changed into another prime (122735083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61367516 + 61367517.

It is an arithmetic number, because the mean of its divisors is an integer number (61367517).

Almost surely, 2^122735033 is an apocalyptic number.

It is an amenable number.

122735033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735033 is an equidigital number, since it uses as much as digits as its factorization.

122735033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 26.

The square root of 122735033 is about 11078.5844312349. The cubic root of 122735033 is about 496.9616178675.

The spelling of 122735033 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, thirty-three".