10361 has 4 divisors (see below), whose sum is σ = 11172. Its totient is φ = 9552.

The previous prime is 10357. The next prime is 10369. The reversal of 10361 is 16301.

10361 = 6² + 7² + ... + 31².

10361 is nontrivially palindromic in base 12.

10361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 7225 = 56^2 + 85^2 .

It is a cyclic number.

It is not a de Polignac number, because 10361 - 2² = 10357 is a prime.

It is a super-3 number, since 3×10361³ = 3336770027643, which contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10369) 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 in 3 ways as a sum of consecutive naturals, for example, 386 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2¹⁰³⁶¹ is an apocalyptic number.

It is an amenable number.

10361 is a deficient number, since it is larger than the sum of its proper divisors (811).

10361 is an equidigital number, since it uses as much as digits as its factorization.

10361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810.

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

The square root of 10361 is about 101.7889974408. The cubic root of 10361 is about 21.8005386619.

Adding to 10361 its reverse (16301), we get a palindrome (26662).

The spelling of 10361 in words is "ten thousand, three hundred sixty-one".