405413 has 2 divisors, whose sum is σ = 405414. Its totient is φ = 405412.

The previous prime is 405407. The next prime is 405437. The reversal of 405413 is 314504.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 158404 = 497^2 + 398^2 .

It is a cyclic number.

It is not a de Polignac number, because 405413 - 2⁸ = 405157 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 405391 and 405400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405473) 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 as a sum of consecutive naturals, namely, 202706 + 202707.

It is an arithmetic number, because the mean of its divisors is an integer number (202707).

2⁴⁰⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

405413 is a deficient number, since it is larger than the sum of its proper divisors (1).

405413 is an equidigital number, since it uses as much as digits as its factorization.

405413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 405413 is about 636.7205038319. The cubic root of 405413 is about 74.0115029598.

Adding to 405413 its reverse (314504), we get a palindrome (719917).

Subtracting from 405413 its reverse (314504), we obtain a palindrome (90909).

It can be divided in two parts, 405 and 413, that added together give a palindrome (818).

The spelling of 405413 in words is "four hundred five thousand, four hundred thirteen".