820809163 has 8 divisors (see below), whose sum is σ = 829713248. Its totient is φ = 811923264.

The previous prime is 820809137. The next prime is 820809167. The reversal of 820809163 is 361908028.

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 820809163 - 2²⁹ = 283938251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820809167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98695 + ... + 106687.

It is an arithmetic number, because the mean of its divisors is an integer number (103714156).

Almost surely, 2^820809163 is an apocalyptic number.

820809163 is a deficient number, since it is larger than the sum of its proper divisors (8904085).

820809163 is a wasteful number, since it uses less digits than its factorization.

820809163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 820809163 is about 28649.7672416374. The cubic root of 820809163 is about 936.2979345192.

The spelling of 820809163 in words is "eight hundred twenty million, eight hundred nine thousand, one hundred sixty-three".