404313 has 16 divisors (see below), whose sum is σ = 663936. Its totient is φ = 213120.

The previous prime is 404309. The next prime is 404321. The reversal of 404313 is 313404.

It is not a de Polignac number, because 404313 - 2² = 404309 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404292 and 404301.

It is not an unprimeable number, because it can be changed into a prime (404323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468 + ... + 1013.

It is an arithmetic number, because the mean of its divisors is an integer number (41496).

2⁴⁰⁴³¹³ is an apocalyptic number.

It is an amenable number.

404313 is a deficient number, since it is larger than the sum of its proper divisors (259623).

404313 is a wasteful number, since it uses less digits than its factorization.

404313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 404313 is about 635.8561157998. The cubic root of 404313 is about 73.9445042891.

Adding to 404313 its reverse (313404), we get a palindrome (717717).

Subtracting from 404313 its reverse (313404), we obtain a palindrome (90909).

It can be divided in two parts, 404 and 313, that added together give a palindrome (717).

The spelling of 404313 in words is "four hundred four thousand, three hundred thirteen".