122607257 has 2 divisors, whose sum is σ = 122607258. Its totient is φ = 122607256.

The previous prime is 122607217. The next prime is 122607259. The reversal of 122607257 is 752706221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113720896 + 8886361 = 10664^2 + 2981^2 .

It is a cyclic number.

It is not a de Polignac number, because 122607257 - 2⁶ = 122607193 is a prime.

Together with 122607259, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (122607259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61303628 + 61303629.

It is an arithmetic number, because the mean of its divisors is an integer number (61303629).

Almost surely, 2^122607257 is an apocalyptic number.

It is an amenable number.

122607257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122607257 is an equidigital number, since it uses as much as digits as its factorization.

122607257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 122607257 is about 11072.8161277969. The cubic root of 122607257 is about 496.7891003860.

The spelling of 122607257 in words is "one hundred twenty-two million, six hundred seven thousand, two hundred fifty-seven".