85905125 has 12 divisors (see below), whose sum is σ = 107339076. Its totient is φ = 68641200.

The previous prime is 85905091. The next prime is 85905139. The reversal of 85905125 is 52150958.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 21921124 + 63984001 = 4682^2 + 7999^2 .

It is not a de Polignac number, because 85905125 - 2¹⁰ = 85904101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103211 + ... + 104039.

It is an arithmetic number, because the mean of its divisors is an integer number (8944923).

Almost surely, 2^85905125 is an apocalyptic number.

It is an amenable number.

85905125 is a deficient number, since it is larger than the sum of its proper divisors (21433951).

85905125 is an frugal number, since it uses more digits than its factorization.

85905125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 85905125 is about 9268.5017667366. The cubic root of 85905125 is about 441.2381191846.

Multiplying 85905125 by its product of nonzero digits (18000), we get a square (1546292250000 = 1243500²).

The spelling of 85905125 in words is "eighty-five million, nine hundred five thousand, one hundred twenty-five".