83772619225 has 27 divisors (see below), whose sum is σ = 105052124541. Its totient is φ = 66269037600.

The previous prime is 83772619207. The next prime is 83772619283. The reversal of 83772619225 is 52291627738.

It is a happy number.

The square root of 83772619225 is 289435.

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 4941949401 + 78830669824 = 70299^2 + 280768^2 .

It is not a de Polignac number, because 83772619225 - 2¹¹ = 83772617177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154847455 + ... + 154847995.

Almost surely, 2^83772619225 is an apocalyptic number.

83772619225 is the 289435-th square number.

83772619225 is the 144718-th centered octagonal number.

It is an amenable number.

83772619225 is a deficient number, since it is larger than the sum of its proper divisors (21279505316).

83772619225 is an frugal number, since it uses more digits than its factorization.

83772619225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 653 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The spelling of 83772619225 in words is "eighty-three billion, seven hundred seventy-two million, six hundred nineteen thousand, two hundred twenty-five".