123264257 has 2 divisors, whose sum is σ = 123264258. Its totient is φ = 123264256.

The previous prime is 123264247. The next prime is 123264259. The reversal of 123264257 is 752462321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 17606416 = 10279^2 + 4196^2 .

It is a cyclic number.

It is not a de Polignac number, because 123264257 - 2¹² = 123260161 is a prime.

Together with 123264259, 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 (123264259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61632128 + 61632129.

It is an arithmetic number, because the mean of its divisors is an integer number (61632129).

Almost surely, 2^123264257 is an apocalyptic number.

It is an amenable number.

123264257 is a deficient number, since it is larger than the sum of its proper divisors (1).

123264257 is an equidigital number, since it uses as much as digits as its factorization.

123264257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20160, while the sum is 32.

The square root of 123264257 is about 11102.4437400061. The cubic root of 123264257 is about 497.6748803977.

The spelling of 123264257 in words is "one hundred twenty-three million, two hundred sixty-four thousand, two hundred fifty-seven".