82010291 has 24 divisors (see below), whose sum is σ = 94202304. Its totient is φ = 71280000.

The previous prime is 82010281. The next prime is 82010297. The reversal of 82010291 is 19201028.

It is not a de Polignac number, because 82010291 - 2¹⁰ = 82009267 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82010297) 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 23 ways as a sum of consecutive naturals, for example, 302486 + ... + 302756.

It is an arithmetic number, because the mean of its divisors is an integer number (3925096).

Almost surely, 2^82010291 is an apocalyptic number.

82010291 is a deficient number, since it is larger than the sum of its proper divisors (12192013).

82010291 is a wasteful number, since it uses less digits than its factorization.

82010291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 82010291 is about 9055.9533457279. The cubic root of 82010291 is about 434.4663222308.

It can be divided in two parts, 820 and 10291, that added together give a palindrome (11111).

The spelling of 82010291 in words is "eighty-two million, ten thousand, two hundred ninety-one".