5409 has 6 divisors (see below), whose sum is σ = 7826. Its totient is φ = 3600.

The previous prime is 5407. The next prime is 5413. The reversal of 5409 is 9045.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 225 = 72^2 + 15^2 .

It is not a de Polignac number, because 5409 - 2¹ = 5407 is a prime.

It is a Duffinian number.

5409 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5391 and 5400.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5409.

It is not an unprimeable number, because it can be changed into a prime (5407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 292 + ... + 309.

2⁵⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

5409 is a deficient number, since it is larger than the sum of its proper divisors (2417).

5409 is a wasteful number, since it uses less digits than its factorization.

5409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5409 is about 73.5459040328. The cubic root of 5409 is about 17.5538477452.

It can be divided in two parts, 5 and 409, that added together give a palindrome (414).

The spelling of 5409 in words is "five thousand, four hundred nine".