262313 has 2 divisors, whose sum is σ = 262314. Its totient is φ = 262312.

The previous prime is 262303. The next prime is 262321. The reversal of 262313 is 313262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 262144 + 169 = 512^2 + 13^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-262313 is a prime.

It is a d-powerful number, because it can be written as 2¹⁷ + 6 + 3⁴ + 2¹⁷ + 1 + 3⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 262291 and 262300.

It is not a weakly prime, because it can be changed into another prime (262303) 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 as a sum of consecutive naturals, namely, 131156 + 131157.

It is an arithmetic number, because the mean of its divisors is an integer number (131157).

262313 is a Friedman number, since it can be written as 13^2+(2^3)^6, using all its digits and the basic arithmetic operations.

2²⁶²³¹³ is an apocalyptic number.

It is an amenable number.

262313 is a deficient number, since it is larger than the sum of its proper divisors (1).

262313 is an equidigital number, since it uses as much as digits as its factorization.

262313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 17.

The square root of 262313 is about 512.1650124716. The cubic root of 262313 is about 64.0137503008.

Adding to 262313 its reverse (313262), we get a palindrome (575575).

It can be divided in two parts, 262 and 313, that added together give a palindrome (575).

The spelling of 262313 in words is "two hundred sixty-two thousand, three hundred thirteen".