82741984 has 24 divisors (see below), whose sum is σ = 175429800. Its totient is φ = 38188416.

The previous prime is 82741969. The next prime is 82741999. The reversal of 82741984 is 48914728.

It is an interprime number because it is at equal distance from previous prime (82741969) and next prime (82741999).

It is a self number, because there is not a number n which added to its sum of digits gives 82741984.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 99034 + ... + 99865.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2^82741984 is an apocalyptic number.

It is an amenable number.

82741984 is an abundant number, since it is smaller than the sum of its proper divisors (92687816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82741984 is a wasteful number, since it uses less digits than its factorization.

82741984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198922 (or 198914 counting only the distinct ones).

The product of its digits is 129024, while the sum is 43.

The square root of 82741984 is about 9096.2620894519. The cubic root of 82741984 is about 435.7545963498.

The spelling of 82741984 in words is "eighty-two million, seven hundred forty-one thousand, nine hundred eighty-four".