123819329 has 2 divisors, whose sum is σ = 123819330. Its totient is φ = 123819328.

The previous prime is 123819271. The next prime is 123819331. The reversal of 123819329 is 923918321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122323600 + 1495729 = 11060^2 + 1223^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123819329 is a prime.

It is a Sophie Germain prime.

Together with 123819331, it forms a pair of twin primes.

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 = 123819292 and 123819301.

It is not a weakly prime, because it can be changed into another prime (123819349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61909664 + 61909665.

It is an arithmetic number, because the mean of its divisors is an integer number (61909665).

Almost surely, 2^123819329 is an apocalyptic number.

It is an amenable number.

123819329 is a deficient number, since it is larger than the sum of its proper divisors (1).

123819329 is an equidigital number, since it uses as much as digits as its factorization.

123819329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23328, while the sum is 38.

The square root of 123819329 is about 11127.4134011458. The cubic root of 123819329 is about 498.4207894392.

The spelling of 123819329 in words is "one hundred twenty-three million, eight hundred nineteen thousand, three hundred twenty-nine".