413133 has 16 divisors (see below), whose sum is σ = 638976. Its totient is φ = 232560.

The previous prime is 413129. The next prime is 413141. The reversal of 413133 is 331314.

It is not a de Polignac number, because 413133 - 2² = 413129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413113) 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 in 15 ways as a sum of consecutive naturals, for example, 2068 + ... + 2258.

It is an arithmetic number, because the mean of its divisors is an integer number (39936).

2⁴¹³¹³³ is an apocalyptic number.

It is an amenable number.

413133 is a deficient number, since it is larger than the sum of its proper divisors (225843).

413133 is a wasteful number, since it uses less digits than its factorization.

413133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304.

The product of its digits is 108, while the sum is 15.

The square root of 413133 is about 642.7542298577. The cubic root of 413133 is about 74.4783355170.

Adding to 413133 its reverse (331314), we get a palindrome (744447).

The spelling of 413133 in words is "four hundred thirteen thousand, one hundred thirty-three".