814105313 has 8 divisors (see below), whose sum is σ = 962489280. Its totient is φ = 673742160.

The previous prime is 814105301. The next prime is 814105321. The reversal of 814105313 is 313501418.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 814105313 - 2⁴ = 814105297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (814105343) 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 in 7 ways as a sum of consecutive naturals, for example, 2004983 + ... + 2005388.

It is an arithmetic number, because the mean of its divisors is an integer number (120311160).

Almost surely, 2^814105313 is an apocalyptic number.

It is an amenable number.

814105313 is a deficient number, since it is larger than the sum of its proper divisors (148383967).

814105313 is a wasteful number, since it uses less digits than its factorization.

814105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010407.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 814105313 is about 28532.5307850530. The cubic root of 814105313 is about 933.7419334953.

It can be divided in two parts, 814105 and 313, that added together give a palindrome (814418).

The spelling of 814105313 in words is "eight hundred fourteen million, one hundred five thousand, three hundred thirteen".