1315 has 4 divisors (see below), whose sum is σ = 1584. Its totient is φ = 1048.

The previous prime is 1307. The next prime is 1319. The reversal of 1315 is 5131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5131 = 7 ⋅733.

It is a cyclic number.

It is not a de Polignac number, because 1315 - 2^{3} = 1307 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1319) 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, 127 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (396).

1315 is a deficient number, since it is larger than the sum of its proper divisors (269).

1315 is an equidigital number, since it uses as much as digits as its factorization.

1315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its digits is 15, while the sum is 10.

The square root of 1315 is about 36.2629287289. The cubic root of 1315 is about 10.9557450583.

Adding to 1315 its reverse (5131), we get a palindrome (6446).

It can be divided in two parts, 131 and 5, that added together give a triangular number (136 = T_{16}).

The spelling of 1315 in words is "one thousand, three hundred fifteen".

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