82683136 has 72 divisors (see below), whose sum is σ = 176601600. Its totient is φ = 38522880.

The previous prime is 82683119. The next prime is 82683151. The reversal of 82683136 is 63138628.

It is a junction number, because it is equal to n+sod(n) for n = 82683095 and 82683104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432801 + ... + 432991.

It is an arithmetic number, because the mean of its divisors is an integer number (2452800).

Almost surely, 2^82683136 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 82683136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88300800).

82683136 is an abundant number, since it is smaller than the sum of its proper divisors (93918464).

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

82683136 is a wasteful number, since it uses less digits than its factorization.

82683136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 82683136 is about 9093.0267788014. The cubic root of 82683136 is about 435.6512656221.

The spelling of 82683136 in words is "eighty-two million, six hundred eighty-three thousand, one hundred thirty-six".