814105314 has 24 divisors (see below), whose sum is σ = 1924249392. Its totient is φ = 246698520.

The previous prime is 814105301. The next prime is 814105321. The reversal of 814105314 is 413501418.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2055624 + ... + 2056019.

It is an arithmetic number, because the mean of its divisors is an integer number (80177058).

Almost surely, 2^814105314 is an apocalyptic number.

814105314 is an abundant number, since it is smaller than the sum of its proper divisors (1110144078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814105314 is a wasteful number, since it uses less digits than its factorization.

814105314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111662 (or 4111659 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 814105314 is about 28532.5308025769. The cubic root of 814105314 is about 933.7419338776.

The spelling of 814105314 in words is "eight hundred fourteen million, one hundred five thousand, three hundred fourteen".