85100625 has 75 divisors (see below), whose sum is σ = 162825223. Its totient is φ = 44280000.

The previous prime is 85100599. The next prime is 85100627. The reversal of 85100625 is 52600158.

The square root of 85100625 is 9225.

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 84768849 + 331776 = 9207^2 + 576^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 85100625 - 2⁵ = 85100593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (85100627) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2075605 + ... + 2075645.

Almost surely, 2^85100625 is an apocalyptic number.

85100625 is the 9225-th square number.

85100625 is the 4613-rd centered octagonal number.

It is an amenable number.

85100625 is a deficient number, since it is larger than the sum of its proper divisors (77724598).

85100625 is an frugal number, since it uses more digits than its factorization.

85100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The cubic root of 85100625 is about 439.8564011428.

The spelling of 85100625 in words is "eighty-five million, one hundred thousand, six hundred twenty-five".