313820 has 48 divisors (see below), whose sum is σ = 762048. Its totient is φ = 107520.

The previous prime is 313783. The next prime is 313829. The reversal of 313820 is 28313.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4385 + ... + 4455.

It is an arithmetic number, because the mean of its divisors is an integer number (15876).

2³¹³⁸²⁰ 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 313820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

313820 is an abundant number, since it is smaller than the sum of its proper divisors (448228).

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

313820 is a wasteful number, since it uses less digits than its factorization.

313820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 313820 is about 560.1963941333. The cubic root of 313820 is about 67.9558536989.

The spelling of 313820 in words is "three hundred thirteen thousand, eight hundred twenty".