353312 has 24 divisors (see below), whose sum is σ = 710892. Its totient is φ = 172800.

The previous prime is 353293. The next prime is 353317. The reversal of 353312 is 213353.

It can be written as a sum of positive squares in 2 ways, for example, as 226576 + 126736 = 476^2 + 356^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 353312.

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

353312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1862 + ... + 2042.

2³⁵³³¹² is an apocalyptic number.

353312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355446).

353312 is an abundant number, since it is smaller than the sum of its proper divisors (357580).

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

353312 is a wasteful number, since it uses less digits than its factorization.

353312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 244 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 353312 is about 594.4005383578. The cubic root of 353312 is about 70.6945817486.

Adding to 353312 its reverse (213353), we get a palindrome (566665).

The spelling of 353312 in words is "three hundred fifty-three thousand, three hundred twelve".