66313 has 4 divisors (see below), whose sum is σ = 71428. Its totient is φ = 61200.

The previous prime is 66301. The next prime is 66337. The reversal of 66313 is 31366.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31366 = 2 ⋅15683.

It can be written as a sum of positive squares in 2 ways, for example, as 2809 + 63504 = 53^2 + 252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66313 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (66343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2538 + ... + 2563.

It is an arithmetic number, because the mean of its divisors is an integer number (17857).

2⁶⁶³¹³ is an apocalyptic number.

It is an amenable number.

66313 is a deficient number, since it is larger than the sum of its proper divisors (5115).

66313 is a wasteful number, since it uses less digits than its factorization.

66313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5114.

The product of its digits is 324, while the sum is 19.

The square root of 66313 is about 257.5131064626. The cubic root of 66313 is about 40.4761837315.

Adding to 66313 its reverse (31366), we get a palindrome (97679).

It can be divided in two parts, 663 and 13, that added together give a palindrome (676).

The spelling of 66313 in words is "sixty-six thousand, three hundred thirteen".