122567257 has 2 divisors, whose sum is σ = 122567258. Its totient is φ = 122567256.

The previous prime is 122567209. The next prime is 122567303. The reversal of 122567257 is 752765221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 5148361 = 10836^2 + 2269^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122567257 is a prime.

It is equal to p_6979321 and since 122567257 and 6979321 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (122562257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61283628 + 61283629.

It is an arithmetic number, because the mean of its divisors is an integer number (61283629).

Almost surely, 2^122567257 is an apocalyptic number.

It is an amenable number.

122567257 is a deficient number, since it is larger than the sum of its proper divisors (1).

122567257 is an equidigital number, since it uses as much as digits as its factorization.

122567257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 58800, while the sum is 37.

The square root of 122567257 is about 11071.0097552120. The cubic root of 122567257 is about 496.7350695293.

The spelling of 122567257 in words is "one hundred twenty-two million, five hundred sixty-seven thousand, two hundred fifty-seven".