820197 has 24 divisors (see below), whose sum is σ = 1387776. Its totient is φ = 457056.

The previous prime is 820187. The next prime is 820201. The reversal of 820197 is 791028.

820197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 820197 - 2⁶ = 820133 is a prime.

It is a super-3 number, since 3×820197³ = 1655296451633356119, which contains 333 as substring.

It is a plaindrome in base 12.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 820197.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2823 + ... + 3099.

It is an arithmetic number, because the mean of its divisors is an integer number (57824).

2⁸²⁰¹⁹⁷ is an apocalyptic number.

It is an amenable number.

820197 is a deficient number, since it is larger than the sum of its proper divisors (567579).

820197 is a wasteful number, since it uses less digits than its factorization.

820197 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 820197 is about 905.6472823346. The cubic root of 820197 is about 93.6065111622.

The spelling of 820197 in words is "eight hundred twenty thousand, one hundred ninety-seven".