82541600 has 36 divisors (see below), whose sum is σ = 201506634. Its totient is φ = 33016320.

The previous prime is 82541593. The next prime is 82541609. The reversal of 82541600 is 614528.

It can be written as a sum of positive squares in 3 ways, for example, as 57820816 + 24720784 = 7604^2 + 4972^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 82541600.

It is not an unprimeable number, because it can be changed into a prime (82541609) 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 5 ways as a sum of consecutive naturals, for example, 50789 + ... + 52388.

Almost surely, 2^82541600 is an apocalyptic number.

82541600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82541600 is an abundant number, since it is smaller than the sum of its proper divisors (118965034).

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

82541600 is a wasteful number, since it uses less digits than its factorization.

82541600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103197 (or 103184 counting only the distinct ones).

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

The square root of 82541600 is about 9085.2407783173. The cubic root of 82541600 is about 435.4025427783.

The spelling of 82541600 in words is "eighty-two million, five hundred forty-one thousand, six hundred".