5353 has 4 divisors (see below), whose sum is σ = 5508. Its totient is φ = 5200.

The previous prime is 5351. The next prime is 5381. The reversal of 5353 is 3535.

It is a happy number.

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 4624 + 729 = 68^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 5353 - 2¹ = 5351 is a prime.

It is a Duffinian number.

5353 is an undulating number in base 10.

It is a plaindrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (5351) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3 + ... + 103.

It is an arithmetic number, because the mean of its divisors is an integer number (1377).

2⁵³⁵³ is an apocalyptic number.

5353 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

5353 is a deficient number, since it is larger than the sum of its proper divisors (155).

5353 is a wasteful number, since it uses less digits than its factorization.

5353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154.

The product of its digits is 225, while the sum is 16.

The square root of 5353 is about 73.1641988954. The cubic root of 5353 is about 17.4930584714.

Adding to 5353 its reverse (3535), we get a palindrome (8888).

The spelling of 5353 in words is "five thousand, three hundred fifty-three".