405613 has 8 divisors (see below), whose sum is σ = 448056. Its totient is φ = 364800.

The previous prime is 405611. The next prime is 405641. The reversal of 405613 is 316504.

It can be written as a sum of positive squares in 4 ways, for example, as 77284 + 328329 = 278^2 + 573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405613 - 2¹ = 405611 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 913.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2⁴⁰⁵⁶¹³ is an apocalyptic number.

It is an amenable number.

405613 is a deficient number, since it is larger than the sum of its proper divisors (42443).

405613 is a wasteful number, since it uses less digits than its factorization.

405613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 405613 is about 636.8775392491. The cubic root of 405613 is about 74.0236715115.

The spelling of 405613 in words is "four hundred five thousand, six hundred thirteen".