1306 has 4 divisors (see below), whose sum is σ = 1962. Its totient is φ = 652.

The previous prime is 1303. The next prime is 1307. The reversal of 1306 is 6031.

Subtracting from 1306 its sum of digits (10), we obtain a 4-th power (1296 = 6^{4}).

Adding to 1306 its reverse (6031), we get a palindrome (7337).

It can be divided in two parts, 130 and 6, that multiplied together give a triangular number (780 = T_{39}).

1306 = T_{28} + T_{29} +
T_{30}.

1306 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 6031 = 37 ⋅163.

It can be written as a sum of positive squares in only one way, i.e., 1225 + 81 = 35^2 + 9^2 .

It is a d-powerful number, because it can be written as **1** + **0** + **3**^{2} + **6**^{4} .

It is a nialpdrome in base 11.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1292 and 1301.

It is not an unprimeable number, because it can be changed into a prime (1301) 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, 325 + ... + 328.

1306 is the 30-th centered triangular number.

1306 is a deficient number, since it is larger than the sum of its proper divisors (656).

1306 is an equidigital number, since it uses as much as digits as its factorization.

1306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1306 is about 36.1386219992. The cubic root of 1306 is about 10.9306937246.

The spelling of 1306 in words is "one thousand, three hundred six".

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