413813 has 4 divisors (see below), whose sum is σ = 423948. Its totient is φ = 403680.

The previous prime is 413807. The next prime is 413827. The reversal of 413813 is 318314.

It is a happy number.

413813 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 318314 = 2 ⋅159157.

It can be written as a sum of positive squares in 2 ways, for example, as 97969 + 315844 = 313^2 + 562^2 .

It is a cyclic number.

It is not a de Polignac number, because 413813 - 2⁸ = 413557 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 (413863) 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, 5006 + ... + 5087.

It is an arithmetic number, because the mean of its divisors is an integer number (105987).

2⁴¹³⁸¹³ is an apocalyptic number.

It is an amenable number.

413813 is a deficient number, since it is larger than the sum of its proper divisors (10135).

413813 is a wasteful number, since it uses less digits than its factorization.

413813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134.

The product of its digits is 288, while the sum is 20.

The square root of 413813 is about 643.2829859401. The cubic root of 413813 is about 74.5191758815.

The spelling of 413813 in words is "four hundred thirteen thousand, eight hundred thirteen".