393316 has 24 divisors (see below), whose sum is σ = 858816. Its totient is φ = 153120.

The previous prime is 393311. The next prime is 393331. The reversal of 393316 is 613393.

It is not an unprimeable number, because it can be changed into a prime (393311) by changing a digit.

393316 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 331 + ... + 946.

It is an arithmetic number, because the mean of its divisors is an integer number (35784).

2³⁹³³¹⁶ is an apocalyptic number.

It is an amenable number.

393316 is an abundant number, since it is smaller than the sum of its proper divisors (465500).

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

393316 is a wasteful number, since it uses less digits than its factorization.

393316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its digits is 1458, while the sum is 25.

The square root of 393316 is about 627.1491050779. The cubic root of 393316 is about 73.2679214693.

The spelling of 393316 in words is "three hundred ninety-three thousand, three hundred sixteen".