82806100 has 36 divisors (see below), whose sum is σ = 193514524. Its totient is φ = 30574080.

The previous prime is 82806013. The next prime is 82806109. The reversal of 82806100 is 160828.

It can be written as a sum of positive squares in 6 ways, for example, as 28430224 + 54375876 = 5332^2 + 7374^2 .

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 (82806109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30549 + ... + 33148.

Almost surely, 2^82806100 is an apocalyptic number.

It is an amenable number.

82806100 is an abundant number, since it is smaller than the sum of its proper divisors (110708424).

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

82806100 is a wasteful number, since it uses less digits than its factorization.

82806100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63724 (or 63717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 82806100 is about 9099.7857117627. The cubic root of 82806100 is about 435.8671213621.

Adding to 82806100 its reverse (160828), we get a palindrome (82966928).

The spelling of 82806100 in words is "eighty-two million, eight hundred six thousand, one hundred".