413343 has 22 divisors (see below), whose sum is σ = 708584. Its totient is φ = 236196.

The previous prime is 413299. The next prime is 413353. The reversal of 413343 is 343314.

It is not a de Polignac number, because 413343 - 2⁸ = 413087 is a prime.

It is a Duffinian number.

413343 is a lucky number.

It is a nialpdrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413353) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 59046 + ... + 59052.

413343 is a Friedman number, since it can be written as (4+3)*(3*3)^(4+1), using all its digits and the basic arithmetic operations.

2⁴¹³³⁴³ is an apocalyptic number.

413343 is a deficient number, since it is larger than the sum of its proper divisors (295241).

413343 is an frugal number, since it uses more digits than its factorization.

413343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 413343 is about 642.9175685887. The cubic root of 413343 is about 74.4909527623.

Adding to 413343 its reverse (343314), we get a palindrome (756657).

The spelling of 413343 in words is "four hundred thirteen thousand, three hundred forty-three".