5329 has 3 divisors (see below), whose sum is σ = 5403. Its totient is φ = 5256.

The previous prime is 5323. The next prime is 5333. The reversal of 5329 is 9235.

5329 = T_{72} + T_{73}.

The square root of 5329 is 73.

It is a perfect power (a square), and thus also a powerful number.

5329 is nontrivially palindromic in base 8.

5329 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9235 = 5 ⋅1847.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 2304 = 55^2 + 48^2 .

It is not a de Polignac number, because 5329 - 2^{5} = 5297 is a prime.

It is a d-powerful number, because it can be written as **5**^{5} + **2**^{3} + **3**^{7} + **9** .

It is a Duffinian number.

It is a plaindrome in base 13.

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 2 ways as a sum of consecutive naturals, for example, 37 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (1801).

2^{5329} is an apocalyptic number.

5329 is the 73-rd square number.

5329 is the 37-th centered octagonal number.

It is an amenable number.

5329 is a deficient number, since it is larger than the sum of its proper divisors (74).

5329 is an frugal number, since it uses more digits than its factorization.

5329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its digits is 270, while the sum is 19.

The cubic root of 5329 is about 17.4668761184.

The spelling of 5329 in words is "five thousand, three hundred twenty-nine".

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