122735413 has 2 divisors, whose sum is σ = 122735414. Its totient is φ = 122735412.

The previous prime is 122735407. The next prime is 122735441. The reversal of 122735413 is 314537221.

It is an a-pointer prime, because the next prime (122735441) can be obtained adding 122735413 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92891044 + 29844369 = 9638^2 + 5463^2 .

It is an emirp because it is prime and its reverse (314537221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122735413 - 2⁹ = 122734901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122735513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61367706 + 61367707.

It is an arithmetic number, because the mean of its divisors is an integer number (61367707).

Almost surely, 2^122735413 is an apocalyptic number.

It is an amenable number.

122735413 is a deficient number, since it is larger than the sum of its proper divisors (1).

122735413 is an equidigital number, since it uses as much as digits as its factorization.

122735413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5040, while the sum is 28.

The square root of 122735413 is about 11078.6015814271. The cubic root of 122735413 is about 496.9621307481.

The spelling of 122735413 in words is "one hundred twenty-two million, seven hundred thirty-five thousand, four hundred thirteen".