11364 has 12 divisors (see below), whose sum is σ = 26544. Its totient is φ = 3784.

The previous prime is 11353. The next prime is 11369. The reversal of 11364 is 46311.

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 a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (11369) by changing a digit.

11364 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, 462 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (2212).

2¹¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

11364 is an abundant number, since it is smaller than the sum of its proper divisors (15180).

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 (13272).

11364 is a wasteful number, since it uses less digits than its factorization.

11364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 952 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 11364 is about 106.6020637699. The cubic root of 11364 is about 22.4824554589.

Adding to 11364 its reverse (46311), we get a palindrome (57675).

It can be divided in two parts, 11 and 364, that multiplied together give a palindrome (4004).

The spelling of 11364 in words is "eleven thousand, three hundred sixty-four".