820888963 has 8 divisors (see below), whose sum is σ = 855830448. Its totient is φ = 786668064.

The previous prime is 820888951. The next prime is 820888969. The reversal of 820888963 is 369888028.

It is a happy number.

820888963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-820888963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820888963.

It is not an unprimeable number, because it can be changed into a prime (820888969) 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, 177820 + ... + 182377.

It is an arithmetic number, because the mean of its divisors is an integer number (106978806).

Almost surely, 2^820888963 is an apocalyptic number.

820888963 is a deficient number, since it is larger than the sum of its proper divisors (34941485).

820888963 is a wasteful number, since it uses less digits than its factorization.

820888963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360293.

The product of its (nonzero) digits is 1327104, while the sum is 52.

The square root of 820888963 is about 28651.1598892610. The cubic root of 820888963 is about 936.3282761858.

The spelling of 820888963 in words is "eight hundred twenty million, eight hundred eighty-eight thousand, nine hundred sixty-three".