817161147 has 48 divisors (see below), whose sum is σ = 1338854400. Its totient is φ = 475790400.

The previous prime is 817161143. The next prime is 817161157. The reversal of 817161147 is 741161718.

It is not a de Polignac number, because 817161147 - 2² = 817161143 is a prime.

It is not an unprimeable number, because it can be changed into a prime (817161143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456388 + ... + 458174.

It is an arithmetic number, because the mean of its divisors is an integer number (27892800).

Almost surely, 2^817161147 is an apocalyptic number.

817161147 is a deficient number, since it is larger than the sum of its proper divisors (521693253).

817161147 is a wasteful number, since it uses less digits than its factorization.

817161147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1981 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The square root of 817161147 is about 28586.0306268639. The cubic root of 817161147 is about 934.9087758331.

The spelling of 817161147 in words is "eight hundred seventeen million, one hundred sixty-one thousand, one hundred forty-seven".