5135 has 8 divisors (see below), whose sum is σ = 6720. Its totient is φ = 3744.

The previous prime is 5119. The next prime is 5147. The reversal of 5135 is 5315.

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

It is not a de Polignac number, because 5135 - 2⁴ = 5119 is a prime.

5135 is a modest number, since divided by 135 gives 5 as remainder.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26 + ... + 104.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2⁵¹³⁵ is an apocalyptic number.

5135 is a deficient number, since it is larger than the sum of its proper divisors (1585).

5135 is a wasteful number, since it uses less digits than its factorization.

5135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its digits is 75, while the sum is 14.

The square root of 5135 is about 71.6589143094. The cubic root of 5135 is about 17.2522926309.

The spelling of 5135 in words is "five thousand, one hundred thirty-five".