313000 has 32 divisors (see below), whose sum is σ = 734760. Its totient is φ = 124800.

The previous prime is 312989. The next prime is 313003. The reversal of 313000 is 313.

It is a happy number.

313000 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 4 ways, for example, as 14884 + 298116 = 122^2 + 546^2 .

It is not an unprimeable number, because it can be changed into a prime (313003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 844 + ... + 1156.

2³¹³⁰⁰⁰ 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 313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367380).

313000 is an abundant number, since it is smaller than the sum of its proper divisors (421760).

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

313000 is a wasteful number, since it uses less digits than its factorization.

313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 313000 is about 559.4640292280. The cubic root of 313000 is about 67.8966133644.

Adding to 313000 its reverse (313), we get a palindrome (313313).

313000 divided by its reverse (313) gives a cube (1000 = 10³).

The spelling of 313000 in words is "three hundred thirteen thousand".