123904321 has 2 divisors, whose sum is σ = 123904322. Its totient is φ = 123904320.

The previous prime is 123904283. The next prime is 123904349. The reversal of 123904321 is 123409321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79014321 + 44890000 = 8889^2 + 6700^2 .

It is a cyclic number.

It is not a de Polignac number, because 123904321 - 2⁹ = 123903809 is a prime.

It is equal to p_7051318 and since 123904321 and 7051318 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (127904321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61952160 + 61952161.

It is an arithmetic number, because the mean of its divisors is an integer number (61952161).

Almost surely, 2^123904321 is an apocalyptic number.

It is an amenable number.

123904321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123904321 is an equidigital number, since it uses as much as digits as its factorization.

123904321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 123904321 is about 11131.2317826914. The cubic root of 123904321 is about 498.5348052694.

The spelling of 123904321 in words is "one hundred twenty-three million, nine hundred four thousand, three hundred twenty-one".