83265625 has 21 divisors (see below), whose sum is σ = 105525993. Its totient is φ = 65700000.

The previous prime is 83265617. The next prime is 83265647. The reversal of 83265625 is 52656238.

It is a happy number.

The square root of 83265625 is 9125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 73051209 + 10214416 = 8547^2 + 3196^2 .

It is not a de Polignac number, because 83265625 - 2³ = 83265617 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 (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1140589 + ... + 1140661.

Almost surely, 2^83265625 is an apocalyptic number.

83265625 is the 9125-th square number.

83265625 is the 4563-rd centered octagonal number.

It is an amenable number.

83265625 is a deficient number, since it is larger than the sum of its proper divisors (22260368).

83265625 is an frugal number, since it uses more digits than its factorization.

83265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 78 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The cubic root of 83265625 is about 436.6719029602.

The spelling of 83265625 in words is "eighty-three million, two hundred sixty-five thousand, six hundred twenty-five".