8124009 has 8 divisors (see below), whose sum is σ = 10954080. Its totient is φ = 5354976.

The previous prime is 8124007. The next prime is 8124013. The reversal of 8124009 is 9004218.

8124009 = T₃₈₂ + T₃₈₃ + ... + T₄₇₀.

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

It is not a de Polignac number, because 8124009 - 2¹ = 8124007 is a prime.

8124009 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 8124009.

It is not an unprimeable number, because it can be changed into a prime (8124007) 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, 14947 + ... + 15480.

It is an arithmetic number, because the mean of its divisors is an integer number (1369260).

Almost surely, 2^8124009 is an apocalyptic number.

8124009 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

It is an amenable number.

8124009 is a deficient number, since it is larger than the sum of its proper divisors (2830071).

8124009 is a wasteful number, since it uses less digits than its factorization.

8124009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30519.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8124009 is about 2850.2647245475. The cubic root of 8124009 is about 201.0281141833.

It can be divided in two parts, 81 and 24009, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 8124009 in words is "eight million, one hundred twenty-four thousand, nine".