1361 has 2 divisors, whose sum is σ = 1362. Its totient is φ = 1360.

The previous prime is 1327. The next prime is 1367. The reversal of 1361 is 1631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 961 + 400 = 31^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 1361 - 2⁶ = 1297 is a prime.

It is a Chen prime.

It is equal to p₂₁₈ and since 1361 and 218 have the same sum of digits, it is a Honaker prime.

It is a nialpdrome in base 12 and base 16.

It is not a weakly prime, because it can be changed into another prime (1367) 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, 680 + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (681).

1361 is the 17-th centered decagonal number.

It is an amenable number.

1361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1361 is an equidigital number, since it uses as much as digits as its factorization.

1361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 1361 is about 36.8917334914. The cubic root of 1361 is about 11.0820313670.

Adding to 1361 its reverse (1631), we get a palindrome (2992).

The spelling of 1361 in words is "one thousand, three hundred sixty-one".