393331 has 2 divisors, whose sum is σ = 393332. Its totient is φ = 393330.

The previous prime is 393311. The next prime is 393361. The reversal of 393331 is 133393.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 393331 - 2⁵ = 393299 is a prime.

It is a super-2 number, since 2×393331² = 309418551122, which contains 22 as substring.

It is a Chen prime.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (393301) 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 as a sum of consecutive naturals, namely, 196665 + 196666.

It is an arithmetic number, because the mean of its divisors is an integer number (196666).

2³⁹³³³¹ is an apocalyptic number.

393331 is a deficient number, since it is larger than the sum of its proper divisors (1).

393331 is an equidigital number, since it uses as much as digits as its factorization.

393331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 729, while the sum is 22.

The square root of 393331 is about 627.1610638425. The cubic root of 393331 is about 73.2688528703.

The spelling of 393331 in words is "three hundred ninety-three thousand, three hundred thirty-one".