393917 has 8 divisors (see below), whose sum is σ = 413952. Its totient is φ = 374400.

The previous prime is 393901. The next prime is 393919. The reversal of 393917 is 719393.

It is a happy number.

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 393917 - 2⁴ = 393901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393917.

It is not an unprimeable number, because it can be changed into a prime (393919) 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, 2942 + ... + 3072.

It is an arithmetic number, because the mean of its divisors is an integer number (51744).

2³⁹³⁹¹⁷ is an apocalyptic number.

It is an amenable number.

393917 is a deficient number, since it is larger than the sum of its proper divisors (20035).

393917 is a wasteful number, since it uses less digits than its factorization.

393917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its digits is 5103, while the sum is 32.

The square root of 393917 is about 627.6280745792. The cubic root of 393917 is about 73.3052210887.

The spelling of 393917 in words is "three hundred ninety-three thousand, nine hundred seventeen".