409313 has 4 divisors (see below), whose sum is σ = 411648. Its totient is φ = 406980.

The previous prime is 409291. The next prime is 409327. The reversal of 409313 is 313904.

409313 is nontrivially palindromic in base 8.

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 cyclic number.

It is not a de Polignac number, because 409313 - 2¹⁴ = 392929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 881 + ... + 1262.

It is an arithmetic number, because the mean of its divisors is an integer number (102912).

2⁴⁰⁹³¹³ is an apocalyptic number.

It is an amenable number.

409313 is a deficient number, since it is larger than the sum of its proper divisors (2335).

409313 is a wasteful number, since it uses less digits than its factorization.

409313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 409313 is about 639.7757419596. The cubic root of 409313 is about 74.2480717642.

The spelling of 409313 in words is "four hundred nine thousand, three hundred thirteen".