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1312 = 2541

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.

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).

1312 is nontrivially palindromic in base 3 and base 7.


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.



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

21312 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 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 square root of 1312 is about 36.2215405525. The cubic root of 1312 is about 10.9474073496.

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

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312