82137181 has 16 divisors (see below), whose sum is σ = 98032000. Its totient is φ = 68753664.

The previous prime is 82137179. The next prime is 82137221. The reversal of 82137181 is 18173128.

It is a happy number.

It is not a de Polignac number, because 82137181 - 2¹ = 82137179 is a prime.

It is a super-2 number, since 2×82137181² = 13493033005253522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82137161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11965 + ... + 17533.

It is an arithmetic number, because the mean of its divisors is an integer number (6127000).

Almost surely, 2^82137181 is an apocalyptic number.

It is an amenable number.

82137181 is a deficient number, since it is larger than the sum of its proper divisors (15894819).

82137181 is an equidigital number, since it uses as much as digits as its factorization.

82137181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5619 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 82137181 is about 9062.9565264322. The cubic root of 82137181 is about 434.6902820228.

The spelling of 82137181 in words is "eighty-two million, one hundred thirty-seven thousand, one hundred eighty-one".