313220 has 12 divisors (see below), whose sum is σ = 657804. Its totient is φ = 125280.

The previous prime is 313219. The next prime is 313241. The reversal of 313220 is 22313.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 75076 = 488^2 + 274^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313220.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7811 + ... + 7850.

It is an arithmetic number, because the mean of its divisors is an integer number (54817).

2³¹³²²⁰ is an apocalyptic number.

It is an amenable number.

313220 is an abundant number, since it is smaller than the sum of its proper divisors (344584).

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

313220 is a wasteful number, since it uses less digits than its factorization.

313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15670 (or 15668 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 313220 is about 559.6606114423. The cubic root of 313220 is about 67.9125172585.

Adding to 313220 its reverse (22313), we get a palindrome (335533).

The spelling of 313220 in words is "three hundred thirteen thousand, two hundred twenty".