353316 has 12 divisors (see below), whose sum is σ = 824432. Its totient is φ = 117768.

The previous prime is 353293. The next prime is 353317. The reversal of 353316 is 613353.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×353316³ = 132315636333175488, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353292 and 353301.

It is not an unprimeable number, because it can be changed into a prime (353317) by changing a digit.

353316 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14710 + ... + 14733.

2³⁵³³¹⁶ is an apocalyptic number.

It is an amenable number.

353316 is an abundant number, since it is smaller than the sum of its proper divisors (471116).

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

353316 is a wasteful number, since it uses less digits than its factorization.

353316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29450 (or 29448 counting only the distinct ones).

The product of its digits is 810, while the sum is 21.

The square root of 353316 is about 594.4039030827. The cubic root of 353316 is about 70.6948485357.

Adding to 353316 its reverse (613353), we get a palindrome (966669).

The spelling of 353316 in words is "three hundred fifty-three thousand, three hundred sixteen".