82825100 has 36 divisors (see below), whose sum is σ = 180457200. Its totient is φ = 32996160.

The previous prime is 82825079. The next prime is 82825103. The reversal of 82825100 is 152828.

It is a self number, because there is not a number n which added to its sum of digits gives 82825100.

It is not an unprimeable number, because it can be changed into a prime (82825103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25361 + ... + 28439.

It is an arithmetic number, because the mean of its divisors is an integer number (5012700).

Almost surely, 2^82825100 is an apocalyptic number.

It is an amenable number.

82825100 is an abundant number, since it is smaller than the sum of its proper divisors (97632100).

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

82825100 is a wasteful number, since it uses less digits than its factorization.

82825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3355 counting only the distinct ones).

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

The square root of 82825100 is about 9100.8296325115. The cubic root of 82825100 is about 435.9004556293.

Adding to 82825100 its reverse (152828), we get a palindrome (82977928).

The spelling of 82825100 in words is "eighty-two million, eight hundred twenty-five thousand, one hundred".