413533 has 2 divisors, whose sum is σ = 413534. Its totient is φ = 413532.

The previous prime is 413527. The next prime is 413537. The reversal of 413533 is 335314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 1369 = 642^2 + 37^2 .

It is a cyclic number.

It is not a de Polignac number, because 413533 - 2¹³ = 405341 is a prime.

It is a d-powerful number, because it can be written as 4³ + 1 + 5³ + 3¹⁰ + 3¹¹ + 3¹¹ .

It is a self number, because there is not a number n which added to its sum of digits gives 413533.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206766 + 206767.

It is an arithmetic number, because the mean of its divisors is an integer number (206767).

2⁴¹³⁵³³ is an apocalyptic number.

It is an amenable number.

413533 is a deficient number, since it is larger than the sum of its proper divisors (1).

413533 is an equidigital number, since it uses as much as digits as its factorization.

413533 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 413533 is about 643.0653155007. The cubic root of 413533 is about 74.5023646833.

Adding to 413533 its reverse (335314), we get a palindrome (748847).

It can be divided in two parts, 413 and 533, that added together give a triangular number (946 = T₄₃).

The spelling of 413533 in words is "four hundred thirteen thousand, five hundred thirty-three".