393687 has 16 divisors (see below), whose sum is σ = 666880. Its totient is φ = 224856.

The previous prime is 393683. The next prime is 393697. The reversal of 393687 is 786393.

It is not a de Polignac number, because 393687 - 2² = 393683 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 393687.

It is not an unprimeable number, because it can be changed into a prime (393683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853 + ... + 1230.

It is an arithmetic number, because the mean of its divisors is an integer number (41680).

2³⁹³⁶⁸⁷ is an apocalyptic number.

393687 is a deficient number, since it is larger than the sum of its proper divisors (273193).

393687 is a wasteful number, since it uses less digits than its factorization.

393687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2093 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 393687 is about 627.4448182908. Note that the first 3 decimals coincide. The cubic root of 393687 is about 73.2909511762.

Adding to 393687 its product of digits (27216), we get a triangular number (420903 = T₉₁₇).

The spelling of 393687 in words is "three hundred ninety-three thousand, six hundred eighty-seven".