393907 has 12 divisors (see below), whose sum is σ = 442080. Its totient is φ = 350336.

The previous prime is 393901. The next prime is 393919. The reversal of 393907 is 709393.

It is not a de Polignac number, because 393907 - 2⁷ = 393779 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393907.

It is not an unprimeable number, because it can be changed into a prime (393901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8358 + ... + 8404.

It is an arithmetic number, because the mean of its divisors is an integer number (36840).

2³⁹³⁹⁰⁷ is an apocalyptic number.

393907 is a deficient number, since it is larger than the sum of its proper divisors (48173).

393907 is a wasteful number, since it uses less digits than its factorization.

393907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 31.

The square root of 393907 is about 627.6201080271. The cubic root of 393907 is about 73.3046007732.

The spelling of 393907 in words is "three hundred ninety-three thousand, nine hundred seven".