82853000 has 64 divisors (see below), whose sum is σ = 200631600. Its totient is φ = 31987200.

The previous prime is 82852993. The next prime is 82853003. The reversal of 82853000 is 35828.

It can be written as a sum of positive squares in 8 ways, for example, as 6360484 + 76492516 = 2522^2 + 8746^2 .

It is not an unprimeable number, because it can be changed into a prime (82853003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 27572 + ... + 30428.

Almost surely, 2^82853000 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 82853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100315800).

82853000 is an abundant number, since it is smaller than the sum of its proper divisors (117778600).

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

82853000 is a wasteful number, since it uses less digits than its factorization.

82853000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 82853000 is about 9102.3623307359. The cubic root of 82853000 is about 435.9493951311.

Adding to 82853000 its reverse (35828), we get a palindrome (82888828).

The spelling of 82853000 in words is "eighty-two million, eight hundred fifty-three thousand".