963816345 has 24 divisors (see below), whose sum is σ = 1677928200. Its totient is φ = 511785216.

The previous prime is 963816307. The next prime is 963816361. The reversal of 963816345 is 543618369.

963816345 is a `hidden beast` number, since 9 + 6 + 3 + 8 + 1 + 634 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272547081 + 691269264 = 16509^2 + 26292^2 .

It is not a de Polignac number, because 963816345 - 2⁶ = 963816281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 963816345.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36460 + ... + 57069.

It is an arithmetic number, because the mean of its divisors is an integer number (69913675).

Almost surely, 2^963816345 is an apocalyptic number.

It is an amenable number.

963816345 is a deficient number, since it is larger than the sum of its proper divisors (714111855).

963816345 is a wasteful number, since it uses less digits than its factorization.

963816345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93769 (or 93766 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 963816345 is about 31045.3916870121. The cubic root of 963816345 is about 987.7903119092.

The spelling of 963816345 in words is "nine hundred sixty-three million, eight hundred sixteen thousand, three hundred forty-five".