82582100 has 18 divisors (see below), whose sum is σ = 179203374. Its totient is φ = 33032800.

The previous prime is 82582099. The next prime is 82582103. The reversal of 82582100 is 128528.

It can be written as a sum of positive squares in 3 ways, for example, as 2515396 + 80066704 = 1586^2 + 8948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82582100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82582103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 412811 + ... + 413010.

It is an arithmetic number, because the mean of its divisors is an integer number (9955743).

Almost surely, 2^82582100 is an apocalyptic number.

It is an amenable number.

82582100 is an abundant number, since it is smaller than the sum of its proper divisors (96621274).

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

82582100 is a wasteful number, since it uses less digits than its factorization.

82582100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825835 (or 825828 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 82582100 is about 9087.4693947215. The cubic root of 82582100 is about 435.4737429153.

The spelling of 82582100 in words is "eighty-two million, five hundred eighty-two thousand, one hundred".