820897 has 12 divisors (see below), whose sum is σ = 1042416. Its totient is φ = 639240.

The previous prime is 820891. The next prime is 820901. The reversal of 820897 is 798028.

820897 = T₁₅₈ + T₁₅₉ + ... + T₂₀₆.

It is a happy number.

It is not a de Polignac number, because 820897 - 2¹⁵ = 788129 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (820891) 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, 223 + ... + 1300.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

2⁸²⁰⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

820897 is a deficient number, since it is larger than the sum of its proper divisors (221519).

820897 is a wasteful number, since it uses less digits than its factorization.

820897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 820897 is about 906.0336638337. The cubic root of 820897 is about 93.6331331916.

The spelling of 820897 in words is "eight hundred twenty thousand, eight hundred ninety-seven".