3509 has 6 divisors (see below), whose sum is σ = 3990. Its totient is φ = 3080.

The previous prime is 3499. The next prime is 3511. The reversal of 3509 is 9053.

It can be written as a sum of positive squares in only one way, i.e., 3025 + 484 = 55^2 + 22^2 .

It is not a de Polignac number, because 3509 - 2⁸ = 3253 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (665).

It is an amenable number.

3509 is a deficient number, since it is larger than the sum of its proper divisors (481).

3509 is a wasteful number, since it uses less digits than its factorization.

3509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 3509 is about 59.2368128785. The cubic root of 3509 is about 15.1959476732.

It can be divided in two parts, 3 and 509, that added together give a 9-th power (512 = 2⁹).

The spelling of 3509 in words is "three thousand, five hundred nine".