123583129 has 2 divisors, whose sum is σ = 123583130. Its totient is φ = 123583128.

The previous prime is 123583079. The next prime is 123583139. The reversal of 123583129 is 921385321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100801600 + 22781529 = 10040^2 + 4773^2 .

It is a cyclic number.

It is not a de Polignac number, because 123583129 - 2⁹ = 123582617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123583094 and 123583103.

It is not a weakly prime, because it can be changed into another prime (123583139) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61791564 + 61791565.

It is an arithmetic number, because the mean of its divisors is an integer number (61791565).

Almost surely, 2^123583129 is an apocalyptic number.

It is an amenable number.

123583129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123583129 is an equidigital number, since it uses as much as digits as its factorization.

123583129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 123583129 is about 11116.7949068065. The cubic root of 123583129 is about 498.1036555145.

The spelling of 123583129 in words is "one hundred twenty-three million, five hundred eighty-three thousand, one hundred twenty-nine".