820071 has 16 divisors (see below), whose sum is σ = 1388800. Its totient is φ = 468504.

The previous prime is 820067. The next prime is 820073. The reversal of 820071 is 170028.

820071 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 820071 - 2² = 820067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820073) 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, 1981 + ... + 2358.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

2⁸²⁰⁰⁷¹ is an apocalyptic number.

820071 is a deficient number, since it is larger than the sum of its proper divisors (568729).

820071 is a wasteful number, since it uses less digits than its factorization.

820071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 820071 is about 905.5777161569. The cubic root of 820071 is about 93.6017175885.

Adding to 820071 its reverse (170028), we get a palindrome (990099).

The spelling of 820071 in words is "eight hundred twenty thousand, seventy-one".