852966306 has 12 divisors (see below), whose sum is σ = 1848093702. Its totient is φ = 284322096.

The previous prime is 852966281. The next prime is 852966319. The reversal of 852966306 is 603669258.

It is a happy number.

852966306 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 6 + 630 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 838971225 + 13995081 = 28965^2 + 3741^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 5 ways as a sum of consecutive naturals, for example, 23693491 + ... + 23693526.

Almost surely, 2^852966306 is an apocalyptic number.

852966306 is an abundant number, since it is smaller than the sum of its proper divisors (995127396).

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

852966306 is a wasteful number, since it uses less digits than its factorization.

852966306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47387025 (or 47387022 counting only the distinct ones).

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

The square root of 852966306 is about 29205.5868970305. The cubic root of 852966306 is about 948.3688745020.

The spelling of 852966306 in words is "eight hundred fifty-two million, nine hundred sixty-six thousand, three hundred six".