2361 has 4 divisors (see below), whose sum is σ = 3152. Its totient is φ = 1572.

The previous prime is 2357. The next prime is 2371. The reversal of 2361 is 1632.

2361 is nontrivially palindromic in base 16.

2361 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, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2361 - 2² = 2357 is a prime.

It is a D-number.

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

It is a Duffinian number.

2361 is an undulating number in base 16.

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 391 + ... + 396.

It is an arithmetic number, because the mean of its divisors is an integer number (788).

2²³⁶¹ is an apocalyptic number.

It is an amenable number.

2361 is a deficient number, since it is larger than the sum of its proper divisors (791).

2361 is an equidigital number, since it uses as much as digits as its factorization.

2361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790.

The product of its digits is 36, while the sum is 12.

The square root of 2361 is about 48.5901224530. The cubic root of 2361 is about 13.3157406865.

Adding to 2361 its reverse (1632), we get a palindrome (3993).

Subtracting from 2361 its reverse (1632), we obtain a 6-th power (729 = 3⁶).

It can be divided in two parts, 2 and 361, that added together give a palindrome (363).

The spelling of 2361 in words is "two thousand, three hundred sixty-one".