820611743 has 12 divisors (see below), whose sum is σ = 996256752. Its totient is φ = 662004480.

The previous prime is 820611731. The next prime is 820611751. The reversal of 820611743 is 347116028.

It is not a de Polignac number, because 820611743 - 2¹⁸ = 820349599 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820611443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200798 + ... + 204843.

It is an arithmetic number, because the mean of its divisors is an integer number (83021396).

Almost surely, 2^820611743 is an apocalyptic number.

820611743 is a deficient number, since it is larger than the sum of its proper divisors (175645009).

820611743 is a wasteful number, since it uses less digits than its factorization.

820611743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405682 (or 405665 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 820611743 is about 28646.3216312322. The cubic root of 820611743 is about 936.2228627615. Note that the first 3 decimals are identical.

The spelling of 820611743 in words is "eight hundred twenty million, six hundred eleven thousand, seven hundred forty-three".