82001241 has 40 divisors (see below), whose sum is σ = 144851520. Its totient is φ = 45232992.

The previous prime is 82001239. The next prime is 82001267. The reversal of 82001241 is 14210028.

It is not a de Polignac number, because 82001241 - 2¹ = 82001239 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82001201) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13950 + ... + 18936.

It is an arithmetic number, because the mean of its divisors is an integer number (3621288).

Almost surely, 2^82001241 is an apocalyptic number.

82001241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

82001241 is a deficient number, since it is larger than the sum of its proper divisors (62850279).

82001241 is a wasteful number, since it uses less digits than its factorization.

82001241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 82001241 is about 9055.4536606401. The cubic root of 82001241 is about 434.4503402331.

Adding to 82001241 its reverse (14210028), we get a palindrome (96211269).

The spelling of 82001241 in words is "eighty-two million, one thousand, two hundred forty-one".