405313 has 4 divisors (see below), whose sum is σ = 409428. Its totient is φ = 401200.

The previous prime is 405299. The next prime is 405323. The reversal of 405313 is 313504.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 368449 + 36864 = 607^2 + 192^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-405313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1906 + ... + 2107.

It is an arithmetic number, because the mean of its divisors is an integer number (102357).

2⁴⁰⁵³¹³ is an apocalyptic number.

It is an amenable number.

405313 is a deficient number, since it is larger than the sum of its proper divisors (4115).

405313 is a wasteful number, since it uses less digits than its factorization.

405313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 405313 is about 636.6419715979. The cubic root of 405313 is about 74.0054171832.

Adding to 405313 its reverse (313504), we get a palindrome (718817).

Subtracting from 405313 its reverse (313504), we obtain a square (91809 = 303²).

The spelling of 405313 in words is "four hundred five thousand, three hundred thirteen".