83684907 has 20 divisors (see below), whose sum is σ = 126311416. Its totient is φ = 55209600.

The previous prime is 83684857. The next prime is 83684917. The reversal of 83684907 is 70948638.

It is a happy number.

It is not a de Polignac number, because 83684907 - 2¹⁹ = 83160619 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83684917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2532 + ... + 13182.

Almost surely, 2^83684907 is an apocalyptic number.

83684907 is a deficient number, since it is larger than the sum of its proper divisors (42626509).

83684907 is a wasteful number, since it uses less digits than its factorization.

83684907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10760 (or 10751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83684907 is about 9147.9455070524. The cubic root of 83684907 is about 437.4036263367.

The spelling of 83684907 in words is "eighty-three million, six hundred eighty-four thousand, nine hundred seven".