9409 has 3 divisors (see below), whose sum is σ = 9507. Its totient is φ = 9312.

The previous prime is 9403. The next prime is 9413. The reversal of 9409 is 9049.

9409 = T₉₆ + T₉₇.

The square root of 9409 is 97.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 4225 + 5184 = 65^2 + 72^2 .

It is not a de Polignac number, because 9409 - 2⁵ = 9377 is a prime.

It is a Duffinian number.

9409 is a lucky number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 9409.

It is not an unprimeable number, because it can be changed into a prime (9403) 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 2 ways as a sum of consecutive naturals, for example, 49 + ... + 145.

It is an arithmetic number, because the mean of its divisors is an integer number (3169).

2⁹⁴⁰⁹ is an apocalyptic number.

9409 is the 97-th square number.

9409 is the 49-th centered octagonal number.

It is an amenable number.

9409 is a deficient number, since it is larger than the sum of its proper divisors (98).

9409 is an frugal number, since it uses more digits than its factorization.

9409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The cubic root of 9409 is about 21.1112762888. Note that the first 3 decimals are identical.

Multiplying 9409 by its product of nonzero digits (324), we get a square (3048516 = 1746²).

It can be divided in two parts, 940 and 9, that added together give a palindrome (949).

The spelling of 9409 in words is "nine thousand, four hundred nine".