82122291 has 24 divisors (see below), whose sum is σ = 126023040. Its totient is φ = 51353856.

The previous prime is 82122289. The next prime is 82122307. The reversal of 82122291 is 19222128.

It is not a de Polignac number, because 82122291 - 2¹ = 82122289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82122251) 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, 56350 + ... + 57788.

It is an arithmetic number, because the mean of its divisors is an integer number (5250960).

Almost surely, 2^82122291 is an apocalyptic number.

82122291 is a deficient number, since it is larger than the sum of its proper divisors (43900749).

82122291 is a wasteful number, since it uses less digits than its factorization.

82122291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1832 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82122291 is about 9062.1350133398. The cubic root of 82122291 is about 434.6640132475.

The spelling of 82122291 in words is "eighty-two million, one hundred twenty-two thousand, two hundred ninety-one".