123284129 has 2 divisors, whose sum is σ = 123284130. Its totient is φ = 123284128.

The previous prime is 123284059. The next prime is 123284131. The reversal of 123284129 is 921482321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107163904 + 16120225 = 10352^2 + 4015^2 .

It is an emirp because it is prime and its reverse (921482321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123284129 - 2⁸ = 123283873 is a prime.

Together with 123284131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123284095 and 123284104.

It is not a weakly prime, because it can be changed into another prime (123284159) 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, 61642064 + 61642065.

It is an arithmetic number, because the mean of its divisors is an integer number (61642065).

Almost surely, 2^123284129 is an apocalyptic number.

It is an amenable number.

123284129 is a deficient number, since it is larger than the sum of its proper divisors (1).

123284129 is an equidigital number, since it uses as much as digits as its factorization.

123284129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The square root of 123284129 is about 11103.3386420482. The cubic root of 123284129 is about 497.7016231157.

The spelling of 123284129 in words is "one hundred twenty-three million, two hundred eighty-four thousand, one hundred twenty-nine".