820773 has 10 divisors (see below), whose sum is σ = 1226214. Its totient is φ = 547128.

The previous prime is 820763. The next prime is 820789. The reversal of 820773 is 377028.

It can be written as a sum of positive squares in only one way, i.e., 777924 + 42849 = 882^2 + 207^2 .

It is not a de Polignac number, because 820773 - 2¹⁸ = 558629 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (820723) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4986 + ... + 5147.

2⁸²⁰⁷⁷³ is an apocalyptic number.

It is an amenable number.

820773 is a deficient number, since it is larger than the sum of its proper divisors (405441).

820773 is a wasteful number, since it uses less digits than its factorization.

820773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10145 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 820773 is about 905.9652311209. The cubic root of 820773 is about 93.6284183926.

The spelling of 820773 in words is "eight hundred twenty thousand, seven hundred seventy-three".