8272100 has 18 divisors (see below), whose sum is σ = 17950674. Its totient is φ = 3308800.

The previous prime is 8272097. The next prime is 8272129. The reversal of 8272100 is 12728.

It can be written as a sum of positive squares in 3 ways, for example, as 23716 + 8248384 = 154^2 + 2872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 41261 + ... + 41460.

Almost surely, 2^8272100 is an apocalyptic number.

It is an amenable number.

8272100 is an abundant number, since it is smaller than the sum of its proper divisors (9678574).

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

8272100 is a wasteful number, since it uses less digits than its factorization.

8272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82735 (or 82728 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 8272100 is about 2876.1258665086. The cubic root of 8272100 is about 202.2422672415.

Adding to 8272100 its reverse (12728), we get a palindrome (8284828).

The spelling of 8272100 in words is "eight million, two hundred seventy-two thousand, one hundred".