413333 has 4 divisors (see below), whose sum is σ = 431328. Its totient is φ = 395340.

The previous prime is 413299. The next prime is 413353. The reversal of 413333 is 333314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 333314 = 2 ⋅166657.

It is a cyclic number.

It is not a de Polignac number, because 413333 - 2¹² = 409237 is a prime.

It is a Duffinian number.

413333 is a modest number, since divided by 3333 gives 41 as remainder.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413333.

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 3 ways as a sum of consecutive naturals, for example, 8963 + ... + 9008.

It is an arithmetic number, because the mean of its divisors is an integer number (107832).

2⁴¹³³³³ is an apocalyptic number.

It is an amenable number.

413333 is a deficient number, since it is larger than the sum of its proper divisors (17995).

413333 is a wasteful number, since it uses less digits than its factorization.

413333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994.

The product of its digits is 324, while the sum is 17.

The square root of 413333 is about 642.9097914949. The cubic root of 413333 is about 74.4903520380.

Adding to 413333 its reverse (333314), we get a palindrome (746647).

The spelling of 413333 in words is "four hundred thirteen thousand, three hundred thirty-three".