83872009 has 8 divisors (see below), whose sum is σ = 91468160. Its totient is φ = 76439376.

The previous prime is 83871979. The next prime is 83872013. The reversal of 83872009 is 90027838.

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

It is not a de Polignac number, because 83872009 - 2⁷ = 83871881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83872049) 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, 39807 + ... + 41860.

It is an arithmetic number, because the mean of its divisors is an integer number (11433520).

Almost surely, 2^83872009 is an apocalyptic number.

It is an amenable number.

83872009 is a deficient number, since it is larger than the sum of its proper divisors (7596151).

83872009 is a wasteful number, since it uses less digits than its factorization.

83872009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81759.

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 83872009 is about 9158.1662465802. The cubic root of 83872009 is about 437.7293647929.

The spelling of 83872009 in words is "eighty-three million, eight hundred seventy-two thousand, nine".