82842100 has 72 divisors (see below), whose sum is σ = 197987328. Its totient is φ = 29836800.

The previous prime is 82842049. The next prime is 82842103. The reversal of 82842100 is 124828.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82842103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139404 + ... + 139996.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^82842100 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 82842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98993664).

82842100 is an abundant number, since it is smaller than the sum of its proper divisors (115145228).

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

82842100 is a wasteful number, since it uses less digits than its factorization.

82842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 82842100 is about 9101.7635653757. The cubic root of 82842100 is about 435.9302767053.

Adding to 82842100 its reverse (124828), we get a palindrome (82966928).

The spelling of 82842100 in words is "eighty-two million, eight hundred forty-two thousand, one hundred".