300313 has 6 divisors (see below), whose sum is σ = 325374. Its totient is φ = 277056.

The previous prime is 300301. The next prime is 300317. The reversal of 300313 is 313003.

300313 = 387² + 388².

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9 + 300304 = 3^2 + 548^2 .

It is not a de Polignac number, because 300313 - 2¹⁷ = 169241 is a prime.

It is a Duffinian number.

300313 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 300313.

It is not an unprimeable number, because it can be changed into a prime (300317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (54229).

2³⁰⁰³¹³ is an apocalyptic number.

300313 is the 388-th centered square number.

It is an amenable number.

300313 is a deficient number, since it is larger than the sum of its proper divisors (25061).

300313 is a wasteful number, since it uses less digits than its factorization.

300313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 300313 is about 548.0082116173. The cubic root of 300313 is about 66.9665683065.

Adding to 300313 its reverse (313003), we get a palindrome (613316).

The spelling of 300313 in words is "three hundred thousand, three hundred thirteen".