82714842 has 72 divisors (see below), whose sum is σ = 209993472. Its totient is φ = 23461200.

The previous prime is 82714837. The next prime is 82714867. The reversal of 82714842 is 24841728.

It is a junction number, because it is equal to n+sod(n) for n = 82714797 and 82714806.

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 35 ways as a sum of consecutive naturals, for example, 168217 + ... + 168707.

It is an arithmetic number, because the mean of its divisors is an integer number (2916576).

Almost surely, 2^82714842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82714842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104996736).

82714842 is an abundant number, since it is smaller than the sum of its proper divisors (127278630).

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

82714842 is a wasteful number, since it uses less digits than its factorization.

82714842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 82714842 is about 9094.7700355754. The cubic root of 82714842 is about 435.7069440209.

The spelling of 82714842 in words is "eighty-two million, seven hundred fourteen thousand, eight hundred forty-two".