5235 has 8 divisors (see below), whose sum is σ = 8400. Its totient is φ = 2784.

The previous prime is 5233. The next prime is 5237. The reversal of 5235 is 5325.

It is an interprime number because it is at equal distance from previous prime (5233) and next prime (5237).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5235 - 2¹ = 5233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 349 = 5235 / (5 + 2 + 3 + 5).

5235 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (5231) 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 7 ways as a sum of consecutive naturals, for example, 160 + ... + 189.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

2⁵²³⁵ is an apocalyptic number.

5235 is a deficient number, since it is larger than the sum of its proper divisors (3165).

5235 is a wasteful number, since it uses less digits than its factorization.

5235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357.

The product of its digits is 150, while the sum is 15.

The square root of 5235 is about 72.3532998556. The cubic root of 5235 is about 17.3635649272.

It can be divided in two parts, 523 and 5, that added together give a triangular number (528 = T₃₂).

The spelling of 5235 in words is "five thousand, two hundred thirty-five".