8516409 has 16 divisors (see below), whose sum is σ = 12437184. Its totient is φ = 5140800.

The previous prime is 8516407. The next prime is 8516419. The reversal of 8516409 is 9046158.

8516409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8516409 - 2¹ = 8516407 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8516409.

It is not an unprimeable number, because it can be changed into a prime (8516407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13587 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (777324).

Almost surely, 2^8516409 is an apocalyptic number.

It is an amenable number.

8516409 is a deficient number, since it is larger than the sum of its proper divisors (3920775).

8516409 is a wasteful number, since it uses less digits than its factorization.

8516409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8516409 is about 2918.2887108715. The cubic root of 8516409 is about 204.2139959320.

It can be divided in two parts, 851 and 6409, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 8516409 in words is "eight million, five hundred sixteen thousand, four hundred nine".