313073 has 4 divisors (see below), whose sum is σ = 314340. Its totient is φ = 311808.

The previous prime is 313037. The next prime is 313081. The reversal of 313073 is 370313.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 370313 = 47 ⋅7879.

It can be written as a sum of positive squares in 2 ways, for example, as 35344 + 277729 = 188^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 313073 - 2⁶ = 313009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313073.

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 3 ways as a sum of consecutive naturals, for example, 128 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (78585).

2³¹³⁰⁷³ is an apocalyptic number.

It is an amenable number.

313073 is a deficient number, since it is larger than the sum of its proper divisors (1267).

313073 is an equidigital number, since it uses as much as digits as its factorization.

313073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 313073 is about 559.5292664374. The cubic root of 313073 is about 67.9018913915.

Adding to 313073 its reverse (370313), we get a palindrome (683386).

The spelling of 313073 in words is "three hundred thirteen thousand, seventy-three".