413109 has 12 divisors (see below), whose sum is σ = 602316. Its totient is φ = 272832.

The previous prime is 413093. The next prime is 413111. The reversal of 413109 is 901314.

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 140625 = 522^2 + 375^2 .

It is not a de Polignac number, because 413109 - 2⁴ = 413093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413091 and 413100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413129) 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 11 ways as a sum of consecutive naturals, for example, 1657 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (50193).

2⁴¹³¹⁰⁹ is an apocalyptic number.

It is an amenable number.

413109 is a deficient number, since it is larger than the sum of its proper divisors (189207).

413109 is a wasteful number, since it uses less digits than its factorization.

413109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 413109 is about 642.7355599311. The cubic root of 413109 is about 74.4768932739.

The spelling of 413109 in words is "four hundred thirteen thousand, one hundred nine".