395773 has 12 divisors (see below), whose sum is σ = 474012. Its totient is φ = 329280.

The previous prime is 395767. The next prime is 395803. The reversal of 395773 is 377593.

It can be written as a sum of positive squares in 2 ways, for example, as 213444 + 182329 = 462^2 + 427^2 .

It is not a de Polignac number, because 395773 - 2⁵ = 395741 is a prime.

Its product of digits (19845) is a multiple of the sum of its prime divisors (245).

395773 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395173) 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 11 ways as a sum of consecutive naturals, for example, 1911 + ... + 2107.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

2³⁹⁵⁷⁷³ is an apocalyptic number.

It is an amenable number.

395773 is a deficient number, since it is larger than the sum of its proper divisors (78239).

395773 is a wasteful number, since it uses less digits than its factorization.

395773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 19845, while the sum is 34.

The square root of 395773 is about 629.1049197074. The cubic root of 395773 is about 73.4201703186.

The spelling of 395773 in words is "three hundred ninety-five thousand, seven hundred seventy-three".