82825536 has 112 divisors (see below), whose sum is σ = 229331520. Its totient is φ = 26357760.

The previous prime is 82825531. The next prime is 82825543. The reversal of 82825536 is 63552828.

It is a junction number, because it is equal to n+sod(n) for n = 82825494 and 82825503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82825531) by changing a digit.

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, 632191 + ... + 632321.

Almost surely, 2^82825536 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 82825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665760).

82825536 is an abundant number, since it is smaller than the sum of its proper divisors (146505984).

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

82825536 is a wasteful number, since it uses less digits than its factorization.

82825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 82825536 is about 9100.8535863401. The cubic root of 82825536 is about 435.9012205031.

The spelling of 82825536 in words is "eighty-two million, eight hundred twenty-five thousand, five hundred thirty-six".