4135 has 4 divisors (see below), whose sum is σ = 4968. Its totient is φ = 3304.

The previous prime is 4133. The next prime is 4139. The reversal of 4135 is 5314.

4135 = T₅₁ + T₅₂ + T₅₃.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5314 = 2 ⋅2657.

It is a cyclic number.

It is not a de Polignac number, because 4135 - 2¹ = 4133 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 409 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (1242).

4135 is the 53-rd centered triangular number.

4135 is a deficient number, since it is larger than the sum of its proper divisors (833).

4135 is an equidigital number, since it uses as much as digits as its factorization.

4135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its digits is 60, while the sum is 13.

The square root of 4135 is about 64.3039656631. The cubic root of 4135 is about 16.0506209262.

Adding to 4135 its reverse (5314), we get a palindrome (9449).

The spelling of 4135 in words is "four thousand, one hundred thirty-five".