83616397225 has 27 divisors (see below), whose sum is σ = 104648763639. Its totient is φ = 66276618000.

The previous prime is 83616397223. The next prime is 83616397231. The reversal of 83616397225 is 52279361638.

The square root of 83616397225 is 289165.

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

It can be written as a sum of positive squares in only one way, i.e., 30101903001 + 53514494224 = 173499^2 + 231332^2 .

It is not a de Polignac number, because 83616397225 - 2¹ = 83616397223 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83616397223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218319384 + ... + 218319766.

Almost surely, 2^83616397225 is an apocalyptic number.

83616397225 is the 289165-th square number.

83616397225 is the 144583-rd centered octagonal number.

It is an amenable number.

83616397225 is a deficient number, since it is larger than the sum of its proper divisors (21032366414).

83616397225 is an frugal number, since it uses more digits than its factorization.

83616397225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 83616397225 in words is "eighty-three billion, six hundred sixteen million, three hundred ninety-seven thousand, two hundred twenty-five".