82181241 has 12 divisors (see below), whose sum is σ = 119201940. Its totient is φ = 54558720.

The previous prime is 82181237. The next prime is 82181269. The reversal of 82181241 is 14218128.

It can be written as a sum of positive squares in 2 ways, for example, as 39879225 + 42302016 = 6315^2 + 6504^2 .

It is not a de Polignac number, because 82181241 - 2² = 82181237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82181291) 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 11 ways as a sum of consecutive naturals, for example, 16776 + ... + 21113.

It is an arithmetic number, because the mean of its divisors is an integer number (9933495).

Almost surely, 2^82181241 is an apocalyptic number.

It is an amenable number.

82181241 is a deficient number, since it is larger than the sum of its proper divisors (37020699).

82181241 is a wasteful number, since it uses less digits than its factorization.

82181241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38136 (or 38133 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 82181241 is about 9065.3869746415. The cubic root of 82181241 is about 434.7679936025.

Adding to 82181241 its reverse (14218128), we get a palindrome (96399369).

The spelling of 82181241 in words is "eighty-two million, one hundred eighty-one thousand, two hundred forty-one".