313500 has 96 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 72000.

The previous prime is 313477. The next prime is 313507. The reversal of 313500 is 5313.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313507) by changing a digit.

313500 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 31 ways as a sum of consecutive naturals, for example, 16491 + ... + 16509.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2³¹³⁵⁰⁰ is an apocalyptic number.

313500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

313500 is an abundant number, since it is smaller than the sum of its proper divisors (734820).

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

313500 is a wasteful number, since it uses less digits than its factorization.

313500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 313500 is about 559.9107071668. The cubic root of 313500 is about 67.9327478115.

Adding to 313500 its reverse (5313), we get a palindrome (318813).

The spelling of 313500 in words is "three hundred thirteen thousand, five hundred".