820107205 has 16 divisors (see below), whose sum is σ = 1032321024. Its totient is φ = 624257920.

The previous prime is 820107193. The next prime is 820107209. The reversal of 820107205 is 502701028.

It is not a de Polignac number, because 820107205 - 2¹¹ = 820105157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820107205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820107209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3297 + ... + 40633.

It is an arithmetic number, because the mean of its divisors is an integer number (64520064).

Almost surely, 2^820107205 is an apocalyptic number.

It is an amenable number.

820107205 is a deficient number, since it is larger than the sum of its proper divisors (212213819).

820107205 is a wasteful number, since it uses less digits than its factorization.

820107205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37556.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 820107205 is about 28637.5139458718. The cubic root of 820107205 is about 936.0309503031.

The spelling of 820107205 in words is "eight hundred twenty million, one hundred seven thousand, two hundred five".