82248129 has 10 divisors (see below), whose sum is σ = 122864610. Its totient is φ = 54832032.

The previous prime is 82248097. The next prime is 82248157. The reversal of 82248129 is 92184228.

It can be written as a sum of positive squares in only one way, i.e., 61591104 + 20657025 = 7848^2 + 4545^2 .

It is not a de Polignac number, because 82248129 - 2⁵ = 82248097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82248093 and 82248102.

It is not an unprimeable number, because it can be changed into a prime (82240129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 507624 + ... + 507785.

It is an arithmetic number, because the mean of its divisors is an integer number (12286461).

Almost surely, 2^82248129 is an apocalyptic number.

It is an amenable number.

82248129 is a deficient number, since it is larger than the sum of its proper divisors (40616481).

82248129 is a wasteful number, since it uses less digits than its factorization.

82248129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015421 (or 1015412 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82248129 is about 9069.0754214528. The cubic root of 82248129 is about 434.8859153856.

The spelling of 82248129 in words is "eighty-two million, two hundred forty-eight thousand, one hundred twenty-nine".