4035 has 8 divisors (see below), whose sum is σ = 6480. Its totient is φ = 2144.

The previous prime is 4027. The next prime is 4049. The reversal of 4035 is 5304.

4035 is nontrivially palindromic in base 6.

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

It is a cyclic number.

It is not a de Polignac number, because 4035 - 2³ = 4027 is a prime.

4035 is a lucky number.

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4035.

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, 120 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (810).

2⁴⁰³⁵ is an apocalyptic number.

4035 is a deficient number, since it is larger than the sum of its proper divisors (2445).

4035 is a wasteful number, since it uses less digits than its factorization.

4035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 4035 is about 63.5216498526. The cubic root of 4035 is about 15.9201753303.

Adding to 4035 its product of nonzero digits (60), we get a triangular number (4095 = T₉₀).

Adding to 4035 its reverse (5304), we get a palindrome (9339).

The spelling of 4035 in words is "four thousand, thirty-five".