86025625 has 45 divisors (see below), whose sum is σ = 127452171. Its totient is φ = 57876000.

The previous prime is 86025623. The next prime is 86025631. The reversal of 86025625 is 52652068.

The square root of 86025625 is 9275.

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

It can be written as a sum of positive squares in 7 ways, for example, as 47734281 + 38291344 = 6909^2 + 6188^2 .

It is not a de Polignac number, because 86025625 - 2¹ = 86025623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86025623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1623099 + ... + 1623151.

Almost surely, 2^86025625 is an apocalyptic number.

86025625 is the 9275-th square number.

86025625 is the 4638-th centered octagonal number.

It is an amenable number.

86025625 is a deficient number, since it is larger than the sum of its proper divisors (41426546).

86025625 is an frugal number, since it uses more digits than its factorization.

86025625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The cubic root of 86025625 is about 441.4443325407. Note that the first 3 decimals are identical.

The spelling of 86025625 in words is "eighty-six million, twenty-five thousand, six hundred twenty-five".