816345329 has 8 divisors (see below), whose sum is σ = 821796840. Its totient is φ = 810912256.

The previous prime is 816345323. The next prime is 816345373. The reversal of 816345329 is 923543618.

It can be written as a sum of positive squares in 4 ways, for example, as 29430625 + 786914704 = 5425^2 + 28052^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 816345329 - 2²⁰ = 815296753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816345323) 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 7 ways as a sum of consecutive naturals, for example, 90659 + ... + 99255.

It is an arithmetic number, because the mean of its divisors is an integer number (102724605).

Almost surely, 2^816345329 is an apocalyptic number.

It is an amenable number.

816345329 is a deficient number, since it is larger than the sum of its proper divisors (5451511).

816345329 is a wasteful number, since it uses less digits than its factorization.

816345329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219.

The product of its digits is 155520, while the sum is 41.

The square root of 816345329 is about 28571.7575413204. The cubic root of 816345329 is about 934.5975482080.

The spelling of 816345329 in words is "eight hundred sixteen million, three hundred forty-five thousand, three hundred twenty-nine".