8105409 has 27 divisors (see below), whose sum is σ = 12853737. Its totient is φ = 4919616.

The previous prime is 8105401. The next prime is 8105423. The reversal of 8105409 is 9045018.

The square root of 8105409 is 2847.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 815409 + 7290000 = 903^2 + 2700^2 .

It is not a de Polignac number, because 8105409 - 2³ = 8105401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8105401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 110997 + ... + 111069.

Almost surely, 2^8105409 is an apocalyptic number.

8105409 is the 2847-th square number.

8105409 is the 1424-th centered octagonal number.

It is an amenable number.

8105409 is a deficient number, since it is larger than the sum of its proper divisors (4748328).

8105409 is a wasteful number, since it uses less digits than its factorization.

8105409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The cubic root of 8105409 is about 200.8745783225.

The spelling of 8105409 in words is "eight million, one hundred five thousand, four hundred nine".