82709736 has 64 divisors (see below), whose sum is σ = 224716800. Its totient is φ = 25272000.

The previous prime is 82709729. The next prime is 82709741. The reversal of 82709736 is 63790728.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 11211 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2^82709736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82709736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112358400).

82709736 is an abundant number, since it is smaller than the sum of its proper divisors (142007064).

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

82709736 is a wasteful number, since it uses less digits than its factorization.

82709736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5906 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 82709736 is about 9094.4893204621. The cubic root of 82709736 is about 435.6979784173.

The spelling of 82709736 in words is "eighty-two million, seven hundred nine thousand, seven hundred thirty-six".