814105321 has 2 divisors, whose sum is σ = 814105322. Its totient is φ = 814105320.

The previous prime is 814105301. The next prime is 814105337. The reversal of 814105321 is 123501418.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 439489296 + 374616025 = 20964^2 + 19355^2 .

It is a cyclic number.

It is not a de Polignac number, because 814105321 - 2¹⁹ = 813581033 is a prime.

It is not a weakly prime, because it can be changed into another prime (814105301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407052660 + 407052661.

It is an arithmetic number, because the mean of its divisors is an integer number (407052661).

Almost surely, 2^814105321 is an apocalyptic number.

It is an amenable number.

814105321 is a deficient number, since it is larger than the sum of its proper divisors (1).

814105321 is an equidigital number, since it uses as much as digits as its factorization.

814105321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 814105321 is about 28532.5309252439. The cubic root of 814105321 is about 933.7419365539.

Adding to 814105321 its reverse (123501418), we get a palindrome (937606739).

The spelling of 814105321 in words is "eight hundred fourteen million, one hundred five thousand, three hundred twenty-one".