413611 has 8 divisors (see below), whose sum is σ = 475200. Its totient is φ = 356040.

The previous prime is 413597. The next prime is 413629. The reversal of 413611 is 116314.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413611 - 2⁵ = 413579 is a prime.

413611 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (413681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 1198.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁴¹³⁶¹¹ is an apocalyptic number.

413611 is a deficient number, since it is larger than the sum of its proper divisors (61589).

413611 is a wasteful number, since it uses less digits than its factorization.

413611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009.

The product of its digits is 72, while the sum is 16.

The square root of 413611 is about 643.1259596689. The cubic root of 413611 is about 74.5070485651.

Subtracting from 413611 its sum of digits (16), we obtain a triangular number (413595 = T₉₀₉).

Adding to 413611 its reverse (116314), we get a palindrome (529925).

It can be divided in two parts, 413 and 611, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 413611 in words is "four hundred thirteen thousand, six hundred eleven".