820085747 has 8 divisors (see below), whose sum is σ = 883532160. Its totient is φ = 756691200.

The previous prime is 820085737. The next prime is 820085753. The reversal of 820085747 is 747580028.

820085747 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 not a de Polignac number, because 820085747 - 2¹⁸ = 819823603 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (820085737) 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, 23747 + ... + 46947.

It is an arithmetic number, because the mean of its divisors is an integer number (110441520).

Almost surely, 2^820085747 is an apocalyptic number.

820085747 is a deficient number, since it is larger than the sum of its proper divisors (63446413).

820085747 is a wasteful number, since it uses less digits than its factorization.

820085747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25933.

The product of its (nonzero) digits is 125440, while the sum is 41.

The square root of 820085747 is about 28637.1392949785. The cubic root of 820085747 is about 936.0227865219.

The spelling of 820085747 in words is "eight hundred twenty million, eighty-five thousand, seven hundred forty-seven".