820888965 has 32 divisors (see below), whose sum is σ = 1571619840. Its totient is φ = 404129088.

The previous prime is 820888951. The next prime is 820888969. The reversal of 820888965 is 569888028.

820888965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820888965 - 2⁴ = 820888949 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 232117 + ... + 235626.

It is an arithmetic number, because the mean of its divisors is an integer number (49113120).

Almost surely, 2^820888965 is an apocalyptic number.

It is an amenable number.

820888965 is a deficient number, since it is larger than the sum of its proper divisors (750730875).

820888965 is a wasteful number, since it uses less digits than its factorization.

820888965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467770 (or 467764 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 820888965 is about 28651.1599241636. The cubic root of 820888965 is about 936.3282769462.

The spelling of 820888965 in words is "eight hundred twenty million, eight hundred eighty-eight thousand, nine hundred sixty-five".