313332 has 12 divisors (see below), whose sum is σ = 731136. Its totient is φ = 104440.

The previous prime is 313331. The next prime is 313333. The reversal of 313332 is 233313.

It is an interprime number because it is at equal distance from previous prime (313331) and next prime (313333).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313331) 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 3 ways as a sum of consecutive naturals, for example, 13044 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (60928).

2³¹³³³² is an apocalyptic number.

It is an amenable number.

313332 is an abundant number, since it is smaller than the sum of its proper divisors (417804).

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

313332 is a wasteful number, since it uses less digits than its factorization.

313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26118 (or 26116 counting only the distinct ones).

The product of its digits is 162, while the sum is 15.

The square root of 313332 is about 559.7606631410. The cubic root of 313332 is about 67.9206109260.

Adding to 313332 its reverse (233313), we get a palindrome (546645).

The spelling of 313332 in words is "three hundred thirteen thousand, three hundred thirty-two".