1312 has 12 divisors (see below), whose sum is σ = 2646. Its totient is φ = 640.

The previous prime is 1307. The next prime is 1319. The reversal of 1312 is 2131.

1312 is nontrivially palindromic in base 3 and base 7.

1312 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1296 + 16 = 36^2 + 4^2 .

It is a hoax number, since the sum of its digits (7) coincides with the sum of the digits of its distinct prime factors.

1312 is an undulating number in base 9.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 11 and base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 1295 and 1304.

It is not an unprimeable number, because it can be changed into a prime (1319) by changing a digit.

1312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12 + ... + 52.

2^{1312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323).

1312 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312 is an equidigital number, since it uses as much as digits as its factorization.

1312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 43 counting only the distinct ones).

The product of its digits is 6, while the sum is 7.

The square root of 1312 is about 36.2215405525. The cubic root of 1312 is about 10.9474073496.

Adding to 1312 its reverse (2131), we get a palindrome (3443).

It can be divided in two parts, 131 and 2, that multiplied together give a palindrome (262).

The spelling of 1312 in words is "one thousand, three hundred twelve", and thus it is an iban number.

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