82773 has 12 divisors (see below), whose sum is σ = 126828. Its totient is φ = 51840.

The previous prime is 82763. The next prime is 82781. The reversal of 82773 is 37728.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 33489 = 222^2 + 183^2 .

It is not a de Polignac number, because 82773 - 2⁴ = 82757 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82723) 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, 118 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (10569).

2⁸²⁷⁷³ is an apocalyptic number.

It is an amenable number.

82773 is a deficient number, since it is larger than the sum of its proper divisors (44055).

82773 is a wasteful number, since it uses less digits than its factorization.

82773 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 561 counting only the distinct ones).

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

The square root of 82773 is about 287.7029718303. The cubic root of 82773 is about 43.5809037378.

It can be divided in two parts, 827 and 73, that added together give a square (900 = 30²).

The spelling of 82773 in words is "eighty-two thousand, seven hundred seventy-three".