82705842 has 12 divisors (see below), whose sum is σ = 179196030. Its totient is φ = 27568608.

The previous prime is 82705823. The next prime is 82705859. The reversal of 82705842 is 24850728.

It is a happy number.

82705842 is a `hidden beast` number, since 8 + 2 + 70 + 584 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75846681 + 6859161 = 8709^2 + 2619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82705797 and 82705806.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2297367 + ... + 2297402.

Almost surely, 2^82705842 is an apocalyptic number.

82705842 is an abundant number, since it is smaller than the sum of its proper divisors (96490188).

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

82705842 is a wasteful number, since it uses less digits than its factorization.

82705842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594777 (or 4594774 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 82705842 is about 9094.2752322546. The cubic root of 82705842 is about 435.6911407114.

The spelling of 82705842 in words is "eighty-two million, seven hundred five thousand, eight hundred forty-two".