393967 has 8 divisors (see below), whose sum is σ = 470016. Its totient is φ = 322872.

The previous prime is 393961. The next prime is 393977. The reversal of 393967 is 769393.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-393967 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393961) 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, 1063 + ... + 1384.

It is an arithmetic number, because the mean of its divisors is an integer number (58752).

2³⁹³⁹⁶⁷ is an apocalyptic number.

393967 is a deficient number, since it is larger than the sum of its proper divisors (76049).

393967 is a wasteful number, since it uses less digits than its factorization.

393967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477.

The product of its digits is 30618, while the sum is 37.

The square root of 393967 is about 627.6679058228. The cubic root of 393967 is about 73.3083225085.

The spelling of 393967 in words is "three hundred ninety-three thousand, nine hundred sixty-seven".