313302 has 32 divisors (see below), whose sum is σ = 705024. Its totient is φ = 92000.

The previous prime is 313301. The next prime is 313307. The reversal of 313302 is 203313.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052 + ... + 3152.

It is an arithmetic number, because the mean of its divisors is an integer number (22032).

2³¹³³⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352512).

313302 is an abundant number, since it is smaller than the sum of its proper divisors (391722).

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

313302 is a wasteful number, since it uses less digits than its factorization.

313302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313302 is about 559.7338653324. The cubic root of 313302 is about 67.9184431685.

Adding to 313302 its reverse (203313), we get a palindrome (516615).

It can be divided in two parts, 31 and 3302, that added together give a palindrome (3333).

The spelling of 313302 in words is "three hundred thirteen thousand, three hundred two".