393738 has 16 divisors (see below), whose sum is σ = 794880. Its totient is φ = 130016.

The previous prime is 393727. The next prime is 393739. The reversal of 393738 is 837393.

It is a super-2 number, since 2×393738² = 310059225288, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 393699 and 393708.

It is not an unprimeable number, because it can be changed into a prime (393739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583 + ... + 1061.

It is an arithmetic number, because the mean of its divisors is an integer number (49680).

2³⁹³⁷³⁸ is an apocalyptic number.

393738 is an abundant number, since it is smaller than the sum of its proper divisors (401142).

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

393738 is a wasteful number, since it uses less digits than its factorization.

393738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 13608, while the sum is 33.

The square root of 393738 is about 627.4854579988. The cubic root of 393738 is about 73.2941158536.

The spelling of 393738 in words is "three hundred ninety-three thousand, seven hundred thirty-eight".