83181681 has 64 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 48024000.

The previous prime is 83181647. The next prime is 83181689. The reversal of 83181681 is 18618138.

It is not a de Polignac number, because 83181681 - 2⁶ = 83181617 is a prime.

It is a super-2 number, since 2×83181681² = 13838384107971522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83181689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 823531 + ... + 823631.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^83181681 is an apocalyptic number.

It is an amenable number.

83181681 is a deficient number, since it is larger than the sum of its proper divisors (57823119).

83181681 is a wasteful number, since it uses less digits than its factorization.

83181681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 83181681 is about 9120.3991688961. The cubic root of 83181681 is about 436.5251104460.

It can be divided in two parts, 8318 and 1681, that added together give a palindrome (9999).

The spelling of 83181681 in words is "eighty-three million, one hundred eighty-one thousand, six hundred eighty-one".