82509219 has 16 divisors (see below), whose sum is σ = 131639200. Its totient is φ = 50774688.

The previous prime is 82509157. The next prime is 82509239. The reversal of 82509219 is 91290528.

It is not a de Polignac number, because 82509219 - 2²¹ = 80412067 is a prime.

It is a super-2 number, since 2×82509219² = 13615542439979922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82509239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117184 + ... + 117885.

It is an arithmetic number, because the mean of its divisors is an integer number (8227450).

Almost surely, 2^82509219 is an apocalyptic number.

82509219 is a deficient number, since it is larger than the sum of its proper divisors (49129981).

82509219 is a wasteful number, since it uses less digits than its factorization.

82509219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235091 (or 235085 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 82509219 is about 9083.4585373634. The cubic root of 82509219 is about 435.3455993147.

It can be divided in two parts, 82509 and 219, that added together give a palindrome (82728).

The spelling of 82509219 in words is "eighty-two million, five hundred nine thousand, two hundred nineteen".