853224100 has 81 divisors (see below), whose sum is σ = 1950856257. Its totient is φ = 323880480.

The previous prime is 853224083. The next prime is 853224121. The reversal of 853224100 is 1422358.

The square root of 853224100 is 29210.

It is a perfect power (a square), and thus also a powerful number.

853224100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 307160676 + 546063424 = 17526^2 + 23368^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6718237 + ... + 6718363.

Almost surely, 2^853224100 is an apocalyptic number.

853224100 is the 29210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853224100

853224100 is an abundant number, since it is smaller than the sum of its proper divisors (1097632157).

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

853224100 is a wasteful number, since it uses less digits than its factorization.

853224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 853224100 is about 948.4644074587.

Multiplying 853224100 by its sum of digits (25), we get a square (21330602500 = 146050²).

853224100 divided by its sum of digits (25) gives a square (34128964 = 5842²).

Adding to 853224100 its reverse (1422358), we get a palindrome (854646458).

The spelling of 853224100 in words is "eight hundred fifty-three million, two hundred twenty-four thousand, one hundred".