5321 has 4 divisors (see below), whose sum is σ = 5652. Its totient is φ = 4992.

The previous prime is 5309. The next prime is 5323. The reversal of 5321 is 1235.

5321 = 9² + 10² + ... + 25².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1600 + 3721 = 40^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 5321 - 2¹⁰ = 4297 is a prime.

It is a d-powerful number, because it can be written as 5⁵ + 2³ + 3⁷ + 1 .

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5323) 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, 140 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1413).

2⁵³²¹ is an apocalyptic number.

It is an amenable number.

5321 is a deficient number, since it is larger than the sum of its proper divisors (331).

5321 is a wasteful number, since it uses less digits than its factorization.

5321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330.

The product of its digits is 30, while the sum is 11.

The square root of 5321 is about 72.9451848993. The cubic root of 5321 is about 17.4581312012.

Adding to 5321 its reverse (1235), we get a palindrome (6556).

The spelling of 5321 in words is "five thousand, three hundred twenty-one".