4609 has 4 divisors (see below), whose sum is σ = 5040. Its totient is φ = 4180.

The previous prime is 4603. The next prime is 4621. The reversal of 4609 is 9064.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a Cullen number, since it is equal to 9×2⁹+1.

It is not a de Polignac number, because 4609 - 2⁷ = 4481 is a prime.

It is a Duffinian number.

4609 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 199 + ... + 220.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

It is a Proth number, since it is equal to 9 ⋅ 2⁹ + 1 and 9 < 2⁹.

2⁴⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

4609 is a deficient number, since it is larger than the sum of its proper divisors (431).

4609 is a wasteful number, since it uses less digits than its factorization.

4609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4609 is about 67.8896162900. The cubic root of 4609 is about 16.6418742496.

Multiplying 4609 by its sum of digits (19), we get a triangular number (87571 = T₄₁₈).

The spelling of 4609 in words is "four thousand, six hundred nine".