820967193 has 24 divisors (see below), whose sum is σ = 1202423040. Its totient is φ = 539684640.

The previous prime is 820967167. The next prime is 820967197. The reversal of 820967193 is 391769028.

It is not a de Polignac number, because 820967193 - 2¹⁸ = 820705049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (820967197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739723 + ... + 740831.

It is an arithmetic number, because the mean of its divisors is an integer number (50100960).

Almost surely, 2^820967193 is an apocalyptic number.

820967193 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

820967193 is a deficient number, since it is larger than the sum of its proper divisors (381455847).

820967193 is a wasteful number, since it uses less digits than its factorization.

820967193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 820967193 is about 28652.5250719723. The cubic root of 820967193 is about 936.3580189962.

The spelling of 820967193 in words is "eight hundred twenty million, nine hundred sixty-seven thousand, one hundred ninety-three".