814973147 has 6 divisors (see below), whose sum is σ = 816632988. Its totient is φ = 813316184.

The previous prime is 814973143. The next prime is 814973153. The reversal of 814973147 is 741379418.

It is not a de Polignac number, because 814973147 - 2² = 814973143 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 814973098 and 814973107.

It is not an unprimeable number, because it can be changed into a prime (814973143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 634568 + ... + 635850.

It is an arithmetic number, because the mean of its divisors is an integer number (136105498).

Almost surely, 2^814973147 is an apocalyptic number.

814973147 is a deficient number, since it is larger than the sum of its proper divisors (1659841).

814973147 is an frugal number, since it uses more digits than its factorization.

814973147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2080 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 814973147 is about 28547.7345335843. The cubic root of 814973147 is about 934.0736044380.

The spelling of 814973147 in words is "eight hundred fourteen million, nine hundred seventy-three thousand, one hundred forty-seven".