122457961 has 2 divisors, whose sum is σ = 122457962. Its totient is φ = 122457960.

The previous prime is 122457943. The next prime is 122457971. The reversal of 122457961 is 169754221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 21576025 = 10044^2 + 4645^2 .

It is a cyclic number.

It is not a de Polignac number, because 122457961 - 2²¹ = 120360809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122457961.

It is not a weakly prime, because it can be changed into another prime (122457971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61228980 + 61228981.

It is an arithmetic number, because the mean of its divisors is an integer number (61228981).

Almost surely, 2^122457961 is an apocalyptic number.

It is an amenable number.

122457961 is a deficient number, since it is larger than the sum of its proper divisors (1).

122457961 is an equidigital number, since it uses as much as digits as its factorization.

122457961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30240, while the sum is 37.

The square root of 122457961 is about 11066.0725191913. The cubic root of 122457961 is about 496.5873756480.

The spelling of 122457961 in words is "one hundred twenty-two million, four hundred fifty-seven thousand, nine hundred sixty-one".