416133 has 6 divisors (see below), whose sum is σ = 601094. Its totient is φ = 277416.

The previous prime is 416107. The next prime is 416147. The reversal of 416133 is 331614.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 3969 = 642^2 + 63^2 .

It is not a de Polignac number, because 416133 - 2¹⁰ = 415109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23110 + ... + 23127.

2⁴¹⁶¹³³ is an apocalyptic number.

It is an amenable number.

416133 is a deficient number, since it is larger than the sum of its proper divisors (184961).

416133 is a wasteful number, since it uses less digits than its factorization.

416133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46243 (or 46240 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 416133 is about 645.0837154975. The cubic root of 416133 is about 74.6581778012.

Adding to 416133 its reverse (331614), we get a palindrome (747747).

It can be divided in two parts, 41613 and 3, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 416133 in words is "four hundred sixteen thousand, one hundred thirty-three".