393309 has 16 divisors (see below), whose sum is σ = 666240. Its totient is φ = 224640.

The previous prime is 393301. The next prime is 393311. The reversal of 393309 is 903393.

It is not a de Polignac number, because 393309 - 2³ = 393301 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a 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 in 15 ways as a sum of consecutive naturals, for example, 852 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (41640).

2³⁹³³⁰⁹ is an apocalyptic number.

It is an amenable number.

393309 is a deficient number, since it is larger than the sum of its proper divisors (272931).

393309 is a wasteful number, since it uses less digits than its factorization.

393309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 393309 is about 627.1435242431. The cubic root of 393309 is about 73.2674868073.

The spelling of 393309 in words is "three hundred ninety-three thousand, three hundred nine".