2366 has 12 divisors (see below), whose sum is σ = 4392. Its totient is φ = 936.

The previous prime is 2357. The next prime is 2371. The reversal of 2366 is 6632.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 10.

It is a nialpdrome in base 7, base 13 and base 14.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

2366 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 176 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (366).

2²³⁶⁶ is an apocalyptic number.

2366 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2366 is a deficient number, since it is larger than the sum of its proper divisors (2026).

2366 is a wasteful number, since it uses less digits than its factorization.

2366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 22 counting only the distinct ones).

The product of its digits is 216, while the sum is 17.

The square root of 2366 is about 48.6415460281. The cubic root of 2366 is about 13.3251338476.

Adding to 2366 its reverse (6632), we get a palindrome (8998).

It can be divided in two parts, 236 and 6, that added together give a palindrome (242).

The spelling of 2366 in words is "two thousand, three hundred sixty-six".