393712 has 20 divisors (see below), whose sum is σ = 832536. Its totient is φ = 178880.

The previous prime is 393709. The next prime is 393713. The reversal of 393712 is 217393.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393713) 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 3 ways as a sum of consecutive naturals, for example, 943 + ... + 1294.

2³⁹³⁷¹² is an apocalyptic number.

It is an amenable number.

393712 is an abundant number, since it is smaller than the sum of its proper divisors (438824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

393712 is a wasteful number, since it uses less digits than its factorization.

393712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2250 counting only the distinct ones).

The product of its digits is 1134, while the sum is 25.

The square root of 393712 is about 627.4647400452. The cubic root of 393712 is about 73.2925025228.

The spelling of 393712 in words is "three hundred ninety-three thousand, seven hundred twelve".