82022129 has 12 divisors (see below), whose sum is σ = 95603364. Its totient is φ = 70164864.

The previous prime is 82022123. The next prime is 82022147. The reversal of 82022129 is 92122028.

It can be written as a sum of positive squares in 2 ways, for example, as 43296400 + 38725729 = 6580^2 + 6223^2 .

It is not a de Polignac number, because 82022129 - 2⁸ = 82021873 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82022098 and 82022107.

It is not an unprimeable number, because it can be changed into a prime (82022123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28877 + ... + 31589.

It is an arithmetic number, because the mean of its divisors is an integer number (7966947).

Almost surely, 2^82022129 is an apocalyptic number.

It is an amenable number.

82022129 is a deficient number, since it is larger than the sum of its proper divisors (13581235).

82022129 is a wasteful number, since it uses less digits than its factorization.

82022129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 82022129 is about 9056.6069253336. The cubic root of 82022129 is about 434.4872259687.

The spelling of 82022129 in words is "eighty-two million, twenty-two thousand, one hundred twenty-nine".