82986849 has 20 divisors (see below), whose sum is σ = 135239280. Its totient is φ = 50294520.

The previous prime is 82986821. The next prime is 82986853. The reversal of 82986849 is 94868928.

It is not a de Polignac number, because 82986849 - 2¹¹ = 82984801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82986795 and 82986804.

It is not an unprimeable number, because it can be changed into a prime (82986899) 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 19 ways as a sum of consecutive naturals, for example, 45679 + ... + 47460.

It is an arithmetic number, because the mean of its divisors is an integer number (6761964).

Almost surely, 2^82986849 is an apocalyptic number.

It is an amenable number.

82986849 is a deficient number, since it is larger than the sum of its proper divisors (52252431).

82986849 is a wasteful number, since it uses less digits than its factorization.

82986849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93162 (or 93153 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 82986849 is about 9109.7117956607. The cubic root of 82986849 is about 436.1840275385.

It can be divided in two parts, 829 and 86849, that added together give a palindrome (87678).

The spelling of 82986849 in words is "eighty-two million, nine hundred eighty-six thousand, eight hundred forty-nine".