393338 has 16 divisors (see below), whose sum is σ = 678240. Its totient is φ = 169200.

The previous prime is 393331. The next prime is 393361. The reversal of 393338 is 833393.

It is a self number, because there is not a number n which added to its sum of digits gives 393338.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393338.

It is not an unprimeable number, because it can be changed into a prime (393331) 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 7 ways as a sum of consecutive naturals, for example, 53 + ... + 888.

It is an arithmetic number, because the mean of its divisors is an integer number (42390).

2³⁹³³³⁸ is an apocalyptic number.

393338 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

393338 is a deficient number, since it is larger than the sum of its proper divisors (284902).

393338 is a wasteful number, since it uses less digits than its factorization.

393338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973.

The product of its digits is 5832, while the sum is 29.

The square root of 393338 is about 627.1666445212. The cubic root of 393338 is about 73.2692875161.

The spelling of 393338 in words is "three hundred ninety-three thousand, three hundred thirty-eight".