83200725 has 36 divisors (see below), whose sum is σ = 151855236. Its totient is φ = 43530240.

The previous prime is 83200723. The next prime is 83200769. The reversal of 83200725 is 52700238.

It can be written as a sum of positive squares in 6 ways, for example, as 2954961 + 80245764 = 1719^2 + 8958^2 .

It is not a de Polignac number, because 83200725 - 2¹ = 83200723 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83200723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8437 + ... + 15413.

It is an arithmetic number, because the mean of its divisors is an integer number (4218201).

Almost surely, 2^83200725 is an apocalyptic number.

It is an amenable number.

83200725 is a deficient number, since it is larger than the sum of its proper divisors (68654511).

83200725 is a wasteful number, since it uses less digits than its factorization.

83200725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 83200725 is about 9121.4431423980. The cubic root of 83200725 is about 436.5584212654.

The spelling of 83200725 in words is "eighty-three million, two hundred thousand, seven hundred twenty-five".