319104 has 48 divisors (see below), whose sum is σ = 921570. Its totient is φ = 105984.

The previous prime is 319097. The next prime is 319117. The reversal of 319104 is 401913.

319104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 14400 = 552^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

319104 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 5 ways as a sum of consecutive naturals, for example, 1014 + ... + 1290.

2³¹⁹¹⁰⁴ 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 319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460785).

319104 is an abundant number, since it is smaller than the sum of its proper divisors (602466).

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

319104 is a wasteful number, since it uses less digits than its factorization.

319104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 319104 is about 564.8929102051. The cubic root of 319104 is about 68.3351390890.

The spelling of 319104 in words is "three hundred nineteen thousand, one hundred four".