319332 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 92928.

The previous prime is 319327. The next prime is 319339. The reversal of 319332 is 233913.

It is an Ulam number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 319299 and 319308.

It is not an unprimeable number, because it can be changed into a prime (319339) by changing a digit.

319332 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544 + ... + 3632.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³¹⁹³³² 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 319332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

319332 is an abundant number, since it is smaller than the sum of its proper divisors (527388).

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

319332 is a wasteful number, since it uses less digits than its factorization.

319332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 319332 is about 565.0946823321. The cubic root of 319332 is about 68.3514103804.

The spelling of 319332 in words is "three hundred nineteen thousand, three hundred thirty-two".