413353 has 2 divisors, whose sum is σ = 413354. Its totient is φ = 413352.

The previous prime is 413299. The next prime is 413411. The reversal of 413353 is 353314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 38809 = 612^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 413353 - 2¹⁷ = 282281 is a prime.

It is a d-powerful number, because it can be written as 4 + 1 + 3¹⁰ + 3¹¹ + 5 + 3¹¹ .

413353 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 413353.

It is not a weakly prime, because it can be changed into another prime (413053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206676 + 206677.

It is an arithmetic number, because the mean of its divisors is an integer number (206677).

2⁴¹³³⁵³ is an apocalyptic number.

It is an amenable number.

413353 is a deficient number, since it is larger than the sum of its proper divisors (1).

413353 is an equidigital number, since it uses as much as digits as its factorization.

413353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 540, while the sum is 19.

The square root of 413353 is about 642.9253455884. The cubic root of 413353 is about 74.4915534769.

Adding to 413353 its reverse (353314), we get a palindrome (766667).

It can be divided in two parts, 4133 and 53, that added together give a triangular number (4186 = T₉₁).

The spelling of 413353 in words is "four hundred thirteen thousand, three hundred fifty-three".