393885 has 12 divisors (see below), whose sum is σ = 682812. Its totient is φ = 210048.

The previous prime is 393871. The next prime is 393901. The reversal of 393885 is 588393.

It can be written as a sum of positive squares in 2 ways, for example, as 251001 + 142884 = 501^2 + 378^2 .

It is not a de Polignac number, because 393885 - 2⁵ = 393853 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4332 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (56901).

2³⁹³⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

393885 is a deficient number, since it is larger than the sum of its proper divisors (288927).

393885 is a wasteful number, since it uses less digits than its factorization.

393885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8764 (or 8761 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 393885 is about 627.6025812566. The cubic root of 393885 is about 73.3032360423.

It can be divided in two parts, 39388 and 5, that added together give a palindrome (39393).

The spelling of 393885 in words is "three hundred ninety-three thousand, eight hundred eighty-five".