395993 has 8 divisors (see below), whose sum is σ = 432768. Its totient is φ = 360144.

The previous prime is 395971. The next prime is 396001. The reversal of 395993 is 399593.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 395993 - 2⁸ = 395737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (395953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (54096).

2³⁹⁵⁹⁹³ is an apocalyptic number.

It is an amenable number.

395993 is a deficient number, since it is larger than the sum of its proper divisors (36775).

395993 is a wasteful number, since it uses less digits than its factorization.

395993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463.

The product of its digits is 32805, while the sum is 38.

The square root of 395993 is about 629.2797470124. The cubic root of 395993 is about 73.4337719248.

Subtracting 395993 from its reverse (399593), we obtain a square (3600 = 60²).

The spelling of 395993 in words is "three hundred ninety-five thousand, nine hundred ninety-three".