82871936 has 96 divisors (see below), whose sum is σ = 195757380. Its totient is φ = 34836480.

The previous prime is 82871933. The next prime is 82871993. The reversal of 82871936 is 63917828.

It can be written as a sum of positive squares in 2 ways, for example, as 75342400 + 7529536 = 8680^2 + 2744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82871933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457766 + ... + 457946.

Almost surely, 2^82871936 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 82871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97878690).

82871936 is an abundant number, since it is smaller than the sum of its proper divisors (112885444).

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

82871936 is a wasteful number, since it uses less digits than its factorization.

82871936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 82871936 is about 9103.4024408459. The cubic root of 82871936 is about 435.9826045861.

The spelling of 82871936 in words is "eighty-two million, eight hundred seventy-one thousand, nine hundred thirty-six".