820359 has 6 divisors (see below), whose sum is σ = 1184976. Its totient is φ = 546900.

The previous prime is 820349. The next prime is 820361. The reversal of 820359 is 953028.

It is not a de Polignac number, because 820359 - 2⁴ = 820343 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820319) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45567 + ... + 45584.

It is an arithmetic number, because the mean of its divisors is an integer number (197496).

2⁸²⁰³⁵⁹ is an apocalyptic number.

820359 is a deficient number, since it is larger than the sum of its proper divisors (364617).

820359 is a wasteful number, since it uses less digits than its factorization.

820359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91157 (or 91154 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 820359 is about 905.7367167119. The cubic root of 820359 is about 93.6126736071.

The spelling of 820359 in words is "eight hundred twenty thousand, three hundred fifty-nine".