83766681 has 12 divisors (see below), whose sum is σ = 124899840. Its totient is φ = 54042840.

The previous prime is 83766677. The next prime is 83766691. The reversal of 83766681 is 18666738.

It is not a de Polignac number, because 83766681 - 2² = 83766677 is a prime.

It is a super-3 number, since 3×83766681³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83766601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149841 + ... + 150398.

It is an arithmetic number, because the mean of its divisors is an integer number (10408320).

Almost surely, 2^83766681 is an apocalyptic number.

It is an amenable number.

83766681 is a deficient number, since it is larger than the sum of its proper divisors (41133159).

83766681 is a wasteful number, since it uses less digits than its factorization.

83766681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300276 (or 300273 counting only the distinct ones).

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

The square root of 83766681 is about 9152.4139438729. The cubic root of 83766681 is about 437.5460518598.

The spelling of 83766681 in words is "eighty-three million, seven hundred sixty-six thousand, six hundred eighty-one".