827773 has 6 divisors (see below), whose sum is σ = 874014. Its totient is φ = 783864.

The previous prime is 827767. The next prime is 827779. The reversal of 827773 is 377728.

It is an interprime number because it is at equal distance from previous prime (827767) and next prime (827779).

It can be written as a sum of positive squares in only one way, i.e., 636804 + 190969 = 798^2 + 437^2 .

It is not a de Polignac number, because 827773 - 2⁵ = 827741 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 786 + ... + 1507.

It is an arithmetic number, because the mean of its divisors is an integer number (145669).

2⁸²⁷⁷⁷³ is an apocalyptic number.

It is an amenable number.

827773 is a deficient number, since it is larger than the sum of its proper divisors (46241).

827773 is a wasteful number, since it uses less digits than its factorization.

827773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2312 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 827773 is about 909.8203119298. The cubic root of 827773 is about 93.8938366860.

It can be divided in two parts, 827 and 773, that added together give a square (1600 = 40²).

The spelling of 827773 in words is "eight hundred twenty-seven thousand, seven hundred seventy-three".