3609 has 6 divisors (see below), whose sum is σ = 5226. Its totient is φ = 2400.

The previous prime is 3607. The next prime is 3613. The reversal of 3609 is 9063.

3609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 9 = 60^2 + 3^2 .

It is not a de Polignac number, because 3609 - 2¹ = 3607 is a prime.

It is a Curzon number.

It is a plaindrome in base 7 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 3591 and 3600.

It is not an unprimeable number, because it can be changed into a prime (3607) 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, 192 + ... + 209.

It is an arithmetic number, because the mean of its divisors is an integer number (871).

2³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

3609 is a deficient number, since it is larger than the sum of its proper divisors (1617).

3609 is a wasteful number, since it uses less digits than its factorization.

3609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3609 is about 60.0749531835. The cubic root of 3609 is about 15.3389498433.

It can be divided in two parts, 360 and 9, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 3609 in words is "three thousand, six hundred nine".