393897 has 8 divisors (see below), whose sum is σ = 600256. Its totient is φ = 225072.

The previous prime is 393871. The next prime is 393901. The reversal of 393897 is 798393.

It is a happy number.

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

It is not a de Polignac number, because 393897 - 2¹⁴ = 377513 is a prime.

It is a Duffinian number.

393897 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (393847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9358 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (75032).

2³⁹³⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

393897 is a deficient number, since it is larger than the sum of its proper divisors (206359).

393897 is a wasteful number, since it uses less digits than its factorization.

393897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18767.

The product of its digits is 40824, while the sum is 39.

The square root of 393897 is about 627.6121413740. The cubic root of 393897 is about 73.3039804473.

Subtracting 393897 from its reverse (798393), we obtain a square (404496 = 636²).

The spelling of 393897 in words is "three hundred ninety-three thousand, eight hundred ninety-seven".