820641073 has 12 divisors (see below), whose sum is σ = 959966640. Its totient is φ = 699469512.

The previous prime is 820641061. The next prime is 820641077. The reversal of 820641073 is 370146028.

It is not a de Polignac number, because 820641073 - 2¹³ = 820632881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820641077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38011 + ... + 55552.

It is an arithmetic number, because the mean of its divisors is an integer number (79997220).

Almost surely, 2^820641073 is an apocalyptic number.

It is an amenable number.

820641073 is a deficient number, since it is larger than the sum of its proper divisors (139325567).

820641073 is a wasteful number, since it uses less digits than its factorization.

820641073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93756 (or 93749 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 820641073 is about 28646.8335597497. The cubic root of 820641073 is about 936.2340166719.

The spelling of 820641073 in words is "eight hundred twenty million, six hundred forty-one thousand, seventy-three".