93596224225 has 27 divisors (see below), whose sum is σ = 135023225241. Its totient is φ = 64172925600.

The previous prime is 93596224213. The next prime is 93596224247. The reversal of 93596224225 is 52242269539.

The square root of 93596224225 is 305935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20345884321 + 73250339904 = 142639^2 + 270648^2 .

It is not a de Polignac number, because 93596224225 - 2⁵ = 93596224193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 10703355 + ... + 10712095.

Almost surely, 2^93596224225 is an apocalyptic number.

93596224225 is the 305935-th square number.

93596224225 is the 152968-th centered octagonal number.

It is an amenable number.

93596224225 is a deficient number, since it is larger than the sum of its proper divisors (41427001016).

93596224225 is an frugal number, since it uses more digits than its factorization.

93596224225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17506 (or 8753 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 49.

Multiplying 93596224225 by its sum of digits (49), we get a square (4586214987025 = 2141545²).

93596224225 divided by its sum of digits (49) gives a square (1910127025 = 43705²).

The spelling of 93596224225 in words is "ninety-three billion, five hundred ninety-six million, two hundred twenty-four thousand, two hundred twenty-five".