313352 has 32 divisors (see below), whose sum is σ = 665280. Its totient is φ = 137280.

The previous prime is 313351. The next prime is 313373. The reversal of 313352 is 253313.

It is a self number, because there is not a number n which added to its sum of digits gives 313352.

It is not an unprimeable number, because it can be changed into a prime (313351) by changing a digit.

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, 2327 + ... + 2457.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2³¹³³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332640).

313352 is an abundant number, since it is smaller than the sum of its proper divisors (351928).

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

313352 is a wasteful number, since it uses less digits than its factorization.

313352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

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

The square root of 313352 is about 559.7785276339. The cubic root of 313352 is about 67.9220560207.

Adding to 313352 its reverse (253313), we get a palindrome (566665).

The spelling of 313352 in words is "three hundred thirteen thousand, three hundred fifty-two".