5364 has 18 divisors (see below), whose sum is σ = 13650. Its totient is φ = 1776.

The previous prime is 5351. The next prime is 5381. The reversal of 5364 is 4635.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 1764 = 60^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 5⁵ + 6² + 3⁷ + 4² .

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

5364 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, 39 + ... + 110.

2⁵³⁶⁴ is an apocalyptic number.

It is an amenable number.

5364 is an abundant number, since it is smaller than the sum of its proper divisors (8286).

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

5364 is a wasteful number, since it uses less digits than its factorization.

5364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 154 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 5364 is about 73.2393336944. The cubic root of 5364 is about 17.5050325662.

Adding to 5364 its reverse (4635), we get a palindrome (9999).

Subtracting from 5364 its reverse (4635), we obtain a 6-th power (729 = 3⁶).

The spelling of 5364 in words is "five thousand, three hundred sixty-four".