820993147 has 4 divisors (see below), whose sum is σ = 884146480. Its totient is φ = 757839816.

The previous prime is 820993141. The next prime is 820993163. The reversal of 820993147 is 741399028.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 820993147 - 2¹¹ = 820991099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820993141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31576647 + ... + 31576672.

It is an arithmetic number, because the mean of its divisors is an integer number (221036620).

Almost surely, 2^820993147 is an apocalyptic number.

820993147 is a deficient number, since it is larger than the sum of its proper divisors (63153333).

820993147 is a wasteful number, since it uses less digits than its factorization.

820993147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63153332.

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 820993147 is about 28652.9779778647. The cubic root of 820993147 is about 936.3678862114.

The spelling of 820993147 in words is "eight hundred twenty million, nine hundred ninety-three thousand, one hundred forty-seven".