83083225 has 9 divisors (see below), whose sum is σ = 103079743. Its totient is φ = 66430120.

The previous prime is 83083223. The next prime is 83083229. The reversal of 83083225 is 52238038.

The square root of 83083225 is 9115.

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., 29909961 + 53173264 = 5469^2 + 7292^2 .

It is not a de Polignac number, because 83083225 - 2¹ = 83083223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83083223) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 44664 + ... + 46486.

Almost surely, 2^83083225 is an apocalyptic number.

83083225 is the 9115-th square number.

83083225 is the 4558-th centered octagonal number.

It is an amenable number.

83083225 is a deficient number, since it is larger than the sum of its proper divisors (19996518).

83083225 is an frugal number, since it uses more digits than its factorization.

83083225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The cubic root of 83083225 is about 436.3528149608.

The spelling of 83083225 in words is "eighty-three million, eighty-three thousand, two hundred twenty-five".