4133413 has 2 divisors, whose sum is σ = 4133414. Its totient is φ = 4133412.

The previous prime is 4133411. The next prime is 4133419. The reversal of 4133413 is 3143314.

4133413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4133089 + 324 = 2033^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 4133413 - 2¹ = 4133411 is a prime.

Together with 4133411, it forms a pair of twin primes.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4133411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2066706 + 2066707.

It is an arithmetic number, because the mean of its divisors is an integer number (2066707).

Almost surely, 2^4133413 is an apocalyptic number.

It is an amenable number.

4133413 is a deficient number, since it is larger than the sum of its proper divisors (1).

4133413 is an equidigital number, since it uses as much as digits as its factorization.

4133413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 19.

The square root of 4133413 is about 2033.0796836327. The cubic root of 4133413 is about 160.4856727085.

Adding to 4133413 its reverse (3143314), we get a palindrome (7276727).

Subtracting from 4133413 its reverse (3143314), we obtain a palindrome (990099).

The spelling of 4133413 in words is "four million, one hundred thirty-three thousand, four hundred thirteen".