123456629 has 2 divisors, whose sum is σ = 123456630. Its totient is φ = 123456628.

The previous prime is 123456611. The next prime is 123456637. The reversal of 123456629 is 926654321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123099025 + 357604 = 11095^2 + 598^2 .

It is an emirp because it is prime and its reverse (926654321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123456629 - 2²⁴ = 106679413 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123456592 and 123456601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123450629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61728314 + 61728315.

It is an arithmetic number, because the mean of its divisors is an integer number (61728315).

Almost surely, 2^123456629 is an apocalyptic number.

It is an amenable number.

123456629 is a deficient number, since it is larger than the sum of its proper divisors (1).

123456629 is an equidigital number, since it uses as much as digits as its factorization.

123456629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 38.

The square root of 123456629 is about 11111.1038605532. The cubic root of 123456629 is about 497.9336441107.

The spelling of 123456629 in words is "one hundred twenty-three million, four hundred fifty-six thousand, six hundred twenty-nine".