814105301 has 2 divisors, whose sum is σ = 814105302. Its totient is φ = 814105300.

The previous prime is 814105297. The next prime is 814105321. The reversal of 814105301 is 103501418.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 800607025 + 13498276 = 28295^2 + 3674^2 .

It is a cyclic number.

It is not a de Polignac number, because 814105301 - 2² = 814105297 is a prime.

It is a super-2 number, since 2×814105301² = 1325534882232601202, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814105321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407052650 + 407052651.

It is an arithmetic number, because the mean of its divisors is an integer number (407052651).

Almost surely, 2^814105301 is an apocalyptic number.

It is an amenable number.

814105301 is a deficient number, since it is larger than the sum of its proper divisors (1).

814105301 is an equidigital number, since it uses as much as digits as its factorization.

814105301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 814105301 is about 28532.5305747668. The cubic root of 814105301 is about 933.7419289075.

Adding to 814105301 its reverse (103501418), we get a palindrome (917606719).

The spelling of 814105301 in words is "eight hundred fourteen million, one hundred five thousand, three hundred one".