413033 has 2 divisors, whose sum is σ = 413034. Its totient is φ = 413032.

The previous prime is 413027. The next prime is 413053. The reversal of 413033 is 330314.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 327184 + 85849 = 572^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 413033 - 2¹⁸ = 150889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 412999 and 413017.

It is a congruent number.

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, 206516 + 206517.

It is an arithmetic number, because the mean of its divisors is an integer number (206517).

2⁴¹³⁰³³ is an apocalyptic number.

It is an amenable number.

413033 is a deficient number, since it is larger than the sum of its proper divisors (1).

413033 is an equidigital number, since it uses as much as digits as its factorization.

413033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 413033 is about 642.6764349188. The cubic root of 413033 is about 74.4723258022.

Adding to 413033 its reverse (330314), we get a palindrome (743347).

The spelling of 413033 in words is "four hundred thirteen thousand, thirty-three".