16361 has 2 divisors, whose sum is σ = 16362. Its totient is φ = 16360.

The previous prime is 16349. The next prime is 16363.

16361 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 3136 = 115^2 + 56^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-16361 is a prime.

Together with 16363, it forms a pair of twin primes.

It is a Chen prime.

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

It is a nialpdrome in base 4.

It is not a weakly prime, because it can be changed into another prime (16363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8180 + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (8181).

2¹⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

16361 is a deficient number, since it is larger than the sum of its proper divisors (1).

16361 is an equidigital number, since it uses as much as digits as its factorization.

16361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 16361 is about 127.9101246970. The cubic root of 16361 is about 25.3865264272.

It can be divided in two parts, 16 and 361, that multiplied together give a square (5776 = 76²).

The spelling of 16361 in words is "sixteen thousand, three hundred sixty-one".