5355 has 24 divisors (see below), whose sum is σ = 11232. Its totient is φ = 2304.

The previous prime is 5351. The next prime is 5381. The reversal of 5355 is 5535.

It is not a de Polignac number, because 5355 - 2² = 5351 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (468).

2⁵³⁵⁵ is an apocalyptic number.

5355 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (5616).

5355 is a wasteful number, since it uses less digits than its factorization.

5355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 32 counting only the distinct ones).

The product of its digits is 375, while the sum is 18.

The square root of 5355 is about 73.1778655059. The cubic root of 5355 is about 17.4952367989.

The spelling of 5355 in words is "five thousand, three hundred fifty-five".