2364 has 12 divisors (see below), whose sum is σ = 5544. Its totient is φ = 784.

The previous prime is 2357. The next prime is 2371. The reversal of 2364 is 4632.

2364 = 12² + 13² + ... + 20².

2364 is nontrivially palindromic in base 14.

2364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2357) and next prime (2371).

It is a tau number, because it is divible by the number of its divisors (12).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

2364 is an undulating number in base 14.

It is a congruent number.

It is an unprimeable number.

2364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

2²³⁶⁴ is an apocalyptic number.

It is an amenable number.

2364 is an abundant number, since it is smaller than the sum of its proper divisors (3180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772).

2364 is a wasteful number, since it uses less digits than its factorization.

2364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 202 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 2364 is about 48.6209831246. The cubic root of 2364 is about 13.3213781727.

Adding to 2364 its reverse (4632), we get a palindrome (6996).

The spelling of 2364 in words is "two thousand, three hundred sixty-four".