820601 has 8 divisors (see below), whose sum is σ = 858624. Its totient is φ = 783360.

The previous prime is 820597. The next prime is 820609. The reversal of 820601 is 106028.

820601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820601 - 2² = 820597 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 820601.

It is not an unprimeable number, because it can be changed into a prime (820609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3065 + ... + 3321.

It is an arithmetic number, because the mean of its divisors is an integer number (107328).

2⁸²⁰⁶⁰¹ is an apocalyptic number.

It is an amenable number.

820601 is a deficient number, since it is larger than the sum of its proper divisors (38023).

820601 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (820600) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (391).

820601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 820601 is about 905.8702997670. The cubic root of 820601 is about 93.6218777238.

Adding to 820601 its reverse (106028), we get a palindrome (926629).

The spelling of 820601 in words is "eight hundred twenty thousand, six hundred one".