820344969 has 32 divisors (see below), whose sum is σ = 1281446400. Its totient is φ = 517240080.

The previous prime is 820344929. The next prime is 820344977. The reversal of 820344969 is 969443028.

It is not a de Polignac number, because 820344969 - 2⁸ = 820344713 is a prime.

It is a super-2 number, since 2×820344969² = 1345931736327221922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820344919) 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, 452074 + ... + 453884.

It is an arithmetic number, because the mean of its divisors is an integer number (40045200).

Almost surely, 2^820344969 is an apocalyptic number.

It is an amenable number.

820344969 is a deficient number, since it is larger than the sum of its proper divisors (461101431).

820344969 is a wasteful number, since it uses less digits than its factorization.

820344969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 820344969 is about 28641.6649131994. The cubic root of 820344969 is about 936.1213990303.

The spelling of 820344969 in words is "eight hundred twenty million, three hundred forty-four thousand, nine hundred sixty-nine".