313104 has 40 divisors (see below), whose sum is σ = 883872. Its totient is φ = 94720.

The previous prime is 313087. The next prime is 313109. The reversal of 313104 is 401313.

It is a super-2 number, since 2×313104² = 196068229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 313104.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313104.

It is not an unprimeable number, because it can be changed into a prime (313109) by changing a digit.

313104 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232 + ... + 824.

2³¹³¹⁰⁴ 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 313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441936).

313104 is an abundant number, since it is smaller than the sum of its proper divisors (570768).

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

313104 is a wasteful number, since it uses less digits than its factorization.

313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313104 is about 559.5569676092. The cubic root of 313104 is about 67.9041324973.

Adding to 313104 its reverse (401313), we get a palindrome (714417).

Subtracting 313104 from its reverse (401313), we obtain a square (88209 = 297²).

The spelling of 313104 in words is "three hundred thirteen thousand, one hundred four".