7035 has 16 divisors (see below), whose sum is σ = 13056. Its totient is φ = 3168.

The previous prime is 7027. The next prime is 7039. The reversal of 7035 is 5307.

7035 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7035 - 2³ = 7027 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

7035 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (816).

2⁷⁰³⁵ is an apocalyptic number.

7035 is a deficient number, since it is larger than the sum of its proper divisors (6021).

7035 is a wasteful number, since it uses less digits than its factorization.

7035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 105, while the sum is 15.

The square root of 7035 is about 83.8749068554. The cubic root of 7035 is about 19.1611410242.

Adding to 7035 its product of nonzero digits (105), we get a triangular number (7140 = T₁₁₉).

Subtracting from 7035 its reverse (5307), we obtain a cube (1728 = 12³).

It can be divided in two parts, 70 and 35, that added together give a triangular number (105 = T₁₄).

The spelling of 7035 in words is "seven thousand, thirty-five".