6361 has 2 divisors, whose sum is σ = 6362. Its totient is φ = 6360.

The previous prime is 6359. The next prime is 6367. The reversal of 6361 is 1636.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 1600 = 69^2 + 40^2 .

It is a cyclic number.

It is not a de Polignac number, because 6361 - 2¹ = 6359 is a prime.

Together with 6359, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (6367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3180 + 3181.

It is an arithmetic number, because the mean of its divisors is an integer number (3181).

2⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

6361 is a deficient number, since it is larger than the sum of its proper divisors (1).

6361 is an equidigital number, since it uses as much as digits as its factorization.

6361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 16.

The square root of 6361 is about 79.7558775264. The cubic root of 6361 is about 18.5285655604.

Adding to 6361 its reverse (1636), we get a palindrome (7997).

The spelling of 6361 in words is "six thousand, three hundred sixty-one".